Find the volume of a cone with a base diameter of 6 yd and a height of 8 yd.Use the value 3.14 for 1, and do not do any rounding.Be sure to include the correct unit in your answer.

Find The Volume Of A Cone With A Base Diameter Of 6 Yd And A Height Of 8 Yd.Use The Value 3.14 For 1,

Answers

Answer 1

ANSWER

[tex]\begin{equation*} 75.36\text{ }yd^3 \end{equation*}[/tex]

EXPLANATION

The volume of a cone is given by:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

where r = radius of the base of the cone

h = height of the cone

The diameter of the base of the cone is twice the radius. This implies that the radius of the cone is:

[tex]\begin{gathered} D=2r \\ r=\frac{D}{2} \\ r=\frac{6}{2} \\ r=3\text{ }yd \end{gathered}[/tex]

Hence, the volume of the cone is:

[tex]\begin{gathered} V=\frac{1}{3}*3.14*3^2*8 \\ V=75.36\text{ }yd^3 \end{gathered}[/tex]

That is the answer.


Related Questions

What is the Area of 8 and 3 1/2

Answers

The area of the rectangle with 8 and 3 1/2 units is 28 sq. units.

How to estimate the area of the rectangle?

The region occupied by a rectangle within its four sides or boundaries is known as its area. The area of a rectangle is determined by its sides. Essentially, the formula for area is equal to the product of the rectangle's length and breadth.

It is given that the length of the rectangle is 8 units and the breadth 3 1/2 units.

the area of the rectangle = length x breadth = 8 x 3 1/2 = 8 x 7/2 = 28 sq. units

So, the area of the rectangle is 28 sq. units.

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Five football players ate 15/17 of a lasagna. The 5 players ate equal amounts. How much of the lasagna did each player eat?

Answers

Answer:

Step-by-step explanation:

The answer is they ate 3/17ths each since 15/5 is 3.

ANSWER FAST PLS
Write and solve an equation that represents the following math sentence. Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5. 24 = 10.5 + 4.5m; m = 60.75 24 = 10.5 + 4.5m; m = 3 24 equals 10.5 plus m over 4.5; m = 3 24 equals 10.5 plus m over 4.5; m = 60.75

Answers

24 = 10.5 + 4.5m; m = 60.75

24 = 10.5 + 4.5m; m = 3

24 equals 10.5 plus m over 4.5; m = 3

24 equals 10.5 plus m over 4.5; m = 60.75

Answer: I believe the answer is C

Step-by-step explanation: forgive me if im wrong im not completely sure

Miami Beach and similar coastal regions are experiencing rising sea levels at a rate of 12 inches every 5 years. How many inches will the sea level rise in the next 18 years if this rate remains constant?

Answers

Answer:

43.2 inches

Step-by-step explanation:

Hello!

According to the question Miami Beach and similar coastal regions are experiencing sea levels at a rate of 12 inches every five years how many inches will the sea level rise in the next 18 years if this rate remains constant

Firstly find rate per year

In order to find rate per year, divide 12inches by 5

➟ 12/5

➟ 2.4

Lastly Multiply 2.4 by 18

➟ 2.4 • 18

➟ 43.2

So, The sea level rise in the next 18 years is 43.2 inches

5. What is the slope that runs through the points (-4, 10) and (-4, 3)?

Answers

To find the slope, we will use the formula;

slope = y₂ - y₁ / x₂- x₁

From the points give,

x₁ = -4 y₁= 10

x₂ = -4 y₂=3

slope = 3 - 10 / -4+ 4

slope = -7/0

slope = ∞

The slope is undefined.

isabella bought tickets for 84 people. each ticket cost $16.22. how much did isabella spend on tickets

Answers

The total money Isabella spent on tickets will be $1362.48

In the given question, it is stated that Isabella bought a total of 84 Tickets. Each of the tickets she bought cost $16.22. We have to find out the total amount that she spent on buying tickets for everyone. From this given situation we know:

The cost of one ticket: $16.22

Total number of tickets: 84

From this formula, we can calculate the total amount spent

Total Amount = Total ticket * cost of one ticket

Putting values in this formula, we get:

=> Amount = cost*number

=>  Amount = 16.22*84

=>  Amount = 1362.48

Hence, the Total amount that she spent on Tickets will be $1362.48

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How many solutions does this equation have?
-8-10z = -4 - 10z

Answers

Answer is no solution

Step by step

-8-10z = -4-10z

Add 10z to both sides

-8 -10z + 10z = -4 -10z + 10z

-8 = -4
This is not true so no solution

The first half of this problem is complete, but I dont understand how to do the second part.

Answers

Okay, here we have this:

According with the provided info we obtain the following equation:

[tex]v=30\cdot(\frac{1}{2})^{\frac{t}{36}}[/tex]

Let's calculate first the 20% of the initial leval:

[tex]30\cdot\frac{20}{100}=\frac{600}{100}=6mg[/tex]

Now, let's replace in the equation "v" with 6 to find the estimated time:

[tex]\begin{gathered} v=30\cdot(\frac{1}{2})^{\frac{t}{36}} \\ 6=30\cdot(\frac{1}{2})^{\frac{t}{36}} \end{gathered}[/tex]

And, finally let's clear t:

[tex]\begin{gathered} 6=30\cdot(\frac{1}{2})^{\frac{t}{36}} \\ \frac{6}{30}=(\frac{1}{2})^{\frac{t}{36}} \\ \frac{1}{5}=(\frac{1}{2})^{\frac{t}{36}} \\ \frac{t}{36}\ln (\frac{1}{2})=\ln (\frac{1}{5}) \\ t=\frac{36\ln\left(5\right)}{\ln\left(2\right)} \\ t=83.589 \\ t\approx84 \end{gathered}[/tex]

Finally we obtain that after approximately 84 hours the valium concentration will reach 20% of it's initial level.

what is the y-intercept of the graph of y= 4.4 (0.34) x?

Answers

Answer:

The y-intercept of the given graph would be (0, 0).

________________________________________

Hope this helps!

the squares for each quadratic, list the center and rais, labeling its translated center: (a) x2 + 2x + y2 - 4y = 4 (c) 2x2 + 2y2 + 3x - 5y = 2 (e) x2 + y2 + 3x = 4 (g) x2 + y2 + 4x = 0 (i) x2 + y2 + 2mx - 2ny = 0 (b) 32-95.0 (d) * - 25.- (1) Akh + 47 - 165 (h) 2 + y - 7y=0 (j) 32 + y2 - 203. 2. Determine which of the following equations represents a circle with (a) x2 + y2 + 10x = -30 (b) 3x2 + 3y2 (c) 4x2 + 4y2 + 18x - 8y = -85 (d) 36x2 + 36

Answers

Determine which of the following equations represents a circle with a real non-zero radius:

a) First equation:

[tex]x^2+y^2+10x=-30[/tex]

We need to complete squares, i.e., make the equation look like a sum of squared binomials. Separating x's and y's:

Determine g(x−1) for the following function. g(x)=−4x−1

Answers

The function operation g( x - 1 ) of the function g( x ) = −4x − 1 is -4x + 3.

What is the function operation g( x - 1 ) in the given function?

A function is simply a relationship that maps one input to one output.

Given the data in the question;

g( x ) = −4x − 1g( x - 1 ) = ?

To find g( x - 1 ), replace all the occurrence of x with ( x - 1 ) in the function and simplify.

g( x ) = −4x − 1

g( x - 1  ) = −4( x - 1 ) − 1

Simplify by distributive property

g( x - 1  ) = −4( x - 1 ) − 1

g( x - 1  ) = x( -4 ) - 1( -4 ) - 1

g( x - 1  ) = -4x + 4 - 1

g( x - 1  ) = -4x + 4 - 1

Add 4 and -1

g( x - 1  ) = -4x + 3

Therefore, the function operation g( x - 1 ) is -4x + 3.

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A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.

About how many pancakes can the restaurant make in two hours?
A:99 pancakes
B:198 pancakes
C:251 pancakes
D:310 pancakes

Answers

Answer: B

Step-by-step explanation: I just did this on my test like 30 seconds ago

Answer:b

Step-by-step explanation:

I looked it up SPEED GANG FOR LIFE

find x=, if 1+x+2=5 ??

Answers

2

1) Let's evaluate 1+x+2=5

1+x +2=5 Adding the numbers on the left side

+3 = 5 S subtract 3 from both sides

x = 5-3

x = 2

2) Hence, the answer is x=2

1+ x +2 = 5

1+ 2+ 2 =5

5 = 5 True

How do I solve this problem? Write an equation in slope intercept form, if that is not possible write it in standard form. 30. Passes through the point (-3,11) and is parallel to the line y=8

Answers

NSWER

y = 11

EXPLANATION

wo lines are parallel if they have the same slope and diffenrent y-intercepts.

In this case, we have to write the equation of a line parallel to the line y = 8, which is a line with a slope of 0 - i.e. it is a horizontal line. Therefore, the equation of the line we have to find must have the same form - y equal to a constant. This constant is the y-coordinate of the point where the line must pass through, (-3, 11).

Hence, the equation of the described line is y = 11.

Help me answer this question.

Answers

nswer:

Explanation:

ere, we want to find the values of x for the function g where there is a local maximum

From what we have in the question, we can see some hills and some valleys

The hills represent the maximum positions while the valleys represent the

Solve this please !!!!

Answers

Given

[tex]1.5(x+4)-3=4.5(x-2)[/tex]

To find: The value of x.

Explanation:

It is given that,

[tex]1.5(x+4)-3=4.5(x-2)[/tex]

That implies,

[tex]\begin{gathered} 1.5(x+4)-3=4.5(x-2) \\ 1.5x+6-3=4.5x-9 \\ 1.5x+3=4.5x-9 \\ 4.5x-1.5x=9+3 \\ 3x=12 \\ x=\frac{12}{3} \\ x=4 \end{gathered}[/tex]

Hence, the value of x is 4.

Please help me solve this giving 20 points

Answers

Answer:

5005

Step-by-step explanation:

This seems to me like a permutations and combinations question.

Since the order doesn't matter, it's a combination.

15 c 6 = 5005

I hope this helps!

in a sale normal prices are reduced by 10% Nathaniel bought a pair of shoes in the sale for £54

what was the original price of the shoes?

Answers

Answer:

$59.40

Step-by-step explanation:

54*0.10 (10%) = 5.4
5.4+54= 59.4
therefore, the price of the shoes without the discount is $59.40

Answer:

[tex]x=540[/tex]

What are Percentages?

Percents are a ratio of a number and 100. So they are easier to compare than fractions, as they always have the same denominator, 100.

[tex]{\text}To find this.[/tex]

[tex]{\text}Right the formula:[/tex]

10% of x = £54

[tex]{\text}Indicating 10 percent of something is the sale given for the pair of shoes 54.[/tex]

[tex]{\text}Then calculate:[/tex]

[tex]\frac{10x}{100} =54[/tex]

[tex]{\text}Using crisscross multiplication:[/tex]

[tex]x=540[/tex]

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Please answer ASAP for 100 points and brainliest if possible and if its correct
PLEASE!!!!!!!!!!!!!!!!

Answers

Answer:

59.40

Step-by-step explanation:

If the value of a lies in between - 1 and 1 in the absolute value function y = a|x|, then the graph is farther from the ______________.y = -xy = xy-axisx-axis

Answers

SOLUTION:

If the value of a lies in between - 1 and 1 in the absolute value function y = a|x|, then the graph is farther from the y- axis. This is because the bounding lines of the function are the lines y = x and y = -x. Thus, when a varies from -1 to 1, the graph gets farther from the y-axis.

Final answer ;

{(-3,-4), (-1,2), (0, 0), (-3,5), (2,4)}
Determine whether the relation represents a function.
O Yes, It is a function.
No, it is NOT a function.

Answers

Answer:

No, it's not function

Step-by-step explanation:

Every function is a relation but every relation is not a function because:

Function: a special type of relation in which the first-order pairs are different.

In this case {(-3,-4), ......., (-3,5)} these two sets have the same first-order pair.

So, your answer will be 'It's not function.'.

GH has a midpoint at M(-4.5, 5.5). Point G is at
(-10, 14). Find the coordinates of point H.

Answers

Answer:

(-1, 3)

Step-by-step explanation:

We could imagine the point G and H are points on a straight line.

We know that:

Point G is at (-10, 14)

Midpoint at M (-4.5, 5.5)

To calculate the x coordinate of the mid-point, we suppose to subtract x coordinate of H from coordinate x of G, divide by 2 to get the x coordinate of the midpoint m, which is -4.5

To calculate the y coordinate of the mid-point, we suppose to subtract y coordinate of H from y coordinate of G, divide by 2 to get the x coordinate of the midpoint m, which is 5.5

Therefore, x coordinate of H:

(- 10 - x) / 2 = -4.5

-10 - x = -9

- x = 1

x = - 1

And y coordinate of H:

(14 - y) / 2 = 5.5

14 - y = 11

- y = -3

y = 3

answer if you will get full score on FINAL BIG TEST/SAT


see attachment below

Answers

Answer:

Find x first.

Since angle EOG = 90°,

x = 90 - 54 = 36°

Angle AOD = angle COB = 156° (vertically opposite angles)

y + 54 + 36 + 2y = 156

3y + 90 = 156

3y = 66

y = 22°

im trying to solve this 8-6·4·10÷2

Answers

-112

1) To solve this expression, let's focus on the order of operations:

[tex]8-6\cdot4\cdot10\colon2[/tex]

2) According to the PEMDAS order, we have:

P ower

E exponent

M multiplication

D division

A addition

S subtraction

So we can solve this way:

[tex]\begin{gathered} 8-(6\cdot4\cdot\frac{10}{2}) \\ 8-(24\cdot5) \\ 8-120 \\ -112 \end{gathered}[/tex]

Note that we've placed a parenthesis inside just to better visualize it. Since there is a product and a division, we'll start with that.

3) Hence, the answer is -112

A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 35 square feet. Find the length of the rectangle.


(Blank) feet.


Show your work!

Explain your answer!

No spam answers!

No incorrect answers!

No nonsense answers!

Thanks!

Answers

Based on the calculations, the length (L) of this rectangle is equal to 5 feet.

What is a rectangle?

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

How to calculate the area of a rectangle?

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

A represents the area of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.

Given the following data:

Area of rectangle, A = 35 square feet.

Width of rectangle, W = (L + 2) feet.

Substituting the given parameters into the formula, we have;

35 = L(L + 2)

35 = L² + 2L

L² + 2L - 35 = 0

Solving the quadratic equation by using the factorization method, we have:

L² + 7L - 5L - 35 = 0

L(L + 7) - 5(L + 7) = 0

(L + 7)(L - 5) = 0

Therefore, the length (L) of this rectangle is equal to 5 feet since the dimension can not be negative.

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Factor-2x² + 10x.
O-2x(x + 5)
O 2x(-x + 5)
O2(-x² + 10x)
Ox(2x + 10)

Answers

Answer:

I believe it is B.

Step-by-step explanation:

When you solve B, you get the expression that you are supposed to factor.

? 60 Thanks for helping me Will give good feedback

Answers

Answer: F. $1.25

Explanation:

First, we need to find the probability of the coin landing faceup and facedown. We know that landing faceup is 3 times the probability of landing facedown. Since the highest probability is 1 (100%):

[tex]\begin{gathered} 3x+x=1 \\ 4x=1 \\ x=\frac{1}{4}=0.25 \end{gathered}[/tex]

With this, we know that:

probability of the coin landing faceup = 3×0.25 = 0.75

probability of the coin landing facedown = 0.25

To find the expected value of each toss, we need to solve for the total of each value multiplied by its probability:

[tex]\begin{gathered} EV=\$1(0.75)+\$2(0.25) \\ EV=\$1.25 \end{gathered}[/tex]

Therefore, the expected value of each toss of Coin C is $1.25

The linear parent function, f(x) = x, transformed to g(x) = x+ 7. Whichstatement correctly compares the graphs of the functions?A. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted down.B. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted up.C. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted up.D. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted down.

Answers

The parent function given is

[tex]\begin{gathered} f(x)=x \\ \text{its has a slope of 1} \end{gathered}[/tex]

The transformed function given is

[tex]\begin{gathered} g(x)=\frac{1}{2}x+7 \\ \text{which has a slope of 1/2} \end{gathered}[/tex]

There is a reduction in the slope of the functions which makes the transformed function become less steep

The slope reduced from

[tex]1\text{ to 1/2}[/tex]

There is also a change in the intercept from

[tex]0\text{ to +7}[/tex]

And this indicates that the transformed function has been shifted up by 7 units

With the explanation above, we can therefore conclude that the statement which compares the two graphs of the function is

The graph of g(x) is less steep than the graph of f(x) and the intercept has been shifted up

Hence, The correct answer is OPTION C

Compare. Select >, <, or = to make the sentence true.

8 meters 6,000 millimeters

Answers

Answer: 8,0000 meters

Step-by-step explanation: if im wrong let me know and i will fix it

Answer: your answer is the alligator facing the left/8 meters is more

Step-by-step explanation:

the reason for this is because 1 meter is 1,000 millimeters so if you have 8 meters, then you obviously 8,000 millimeters

hope this helps :)

please give brainliest if possible

What in cardinality?​

Answers

In mathematics, cardinality is the number of elements in a set.

Have a good day!
Cardinality is the number of element in a set
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