Find the volume of a right circular cone that has a height of 16 m and a base with a
circumference of 14.7 m. Round your answer to the nearest tenth of a cubic meter.

Find The Volume Of A Right Circular Cone That Has A Height Of 16 M And A Base With Acircumference Of

Answers

Answer 1

Answer:

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³

Step-by-step explanation:

The right cone (or cone of revolution, or right circular cone) is the solid of revolution formed by rotating a right triangle around one of its legs. The bottom circle of the cone is called the base. That is, a cone is a three-dimensional figure with a circular base. A curved surface connects the base and the vertex.

The volume of a 3-dimensional solid is the amount of space it occupies.

The volume V of a cone with radius r is one-third the area of ​​the base B times the height h. This is:

[tex]V=\frac{1}{3}*A*h[/tex]

where A=π*r²

Then: V=[tex]\frac{1}{3}[/tex] *π*r²*h

In this case r=14.7 m and h=16 m. Replacing:

V=[tex]\frac{1}{3}[/tex] *π*(14.7 m)²*16 m

Solving, you get:

V=3,620.62 m³

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³


Related Questions

The principal has a budget of $225 and expects at least 16 people to attend.
Sandwiches cost $3 each.

Answers

Answer:

$48

Step-by-step explanation:

16 x 3 = 48

Answer:

awnser is 48

Step-by-step explanation:

225÷6=48 yourwelcome

The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.

Answers

Answer:

"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)

Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.

There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.

Step-by-step explanation:

Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?

Answers

Answer:

7 he gets 7 becuse he only did 7#43/6/h

Step-by-step explanation:

This subject is on integers

Answers

Answer:

|-8| = 8

Step-by-step explanation:

legit just the opposite of the integer.

HELP ASAP The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?

Answers

Answer:

1/2

Step-by-step explanation:

4 out of 8 of the outcomes have at least to heads so it would be 4/8, then you just simply that to get 1/2

Last year there were m members in a photography club. This year the number of
members has increased by 10%. The expression m + 0.1m represents the number of
members in the club this year. What is this expression written in simplest form?

Answers

Answer:

m + 10/100(m)

Step-by-step explanation:

Last year there were m members in a photography club.This year the number of members has increased by 10%m + 0.1m represents the number of members in the club this year.

So m represents the number of members in the club last year.

A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m

Hence the number of members in the club this year = m + 0.1m

Stacy is covering the box below with sticky wrapping paper. If the paper cost 2 cents per square centimeter, how much will it cost to cover the entire box.

Answers

Given:

The shape of box is a right triangular prism.

Paper cost = 2 cents per square centimeter

To find:

The cost to cover the entire box.

Solution:

In the given right triangular prism, we have 3 rectangle surfaces and 2 triangular surfaces.

Area of a rectangle is

[tex]Area=length\times width[/tex]

Area of rectangle with length 4 cm and width 3 cm is

[tex]A_1=4\times 3=12\text{ cm}^2[/tex]

Area of rectangle with length 4 cm and width 4 cm is

[tex]A_2=4\times 4=16\text{ cm}^2[/tex]

Area of rectangle with length 4 cm and width 5 cm is

[tex]A_3=4\times 5=20\text{ cm}^2[/tex]

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

Area of triangle with base 3 cm and height 4 cm is

[tex]A_4=\dfrac{1}{2}\times 3\times 4[/tex]

[tex]A_4=\dfrac{12}{2}[/tex]

[tex]A_4=6\text{ cm}^2[/tex]

Bottom and top triangular surfaces are equal.

[tex]A_5=A_4=6\text{ cm}^2[/tex]

Now, total surface area of the box is

[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]

[tex]A=12+16+20+6+6[/tex]

[tex]A=60\text{ cm}^2[/tex]

Paper cost = 2 cents per square centimeter

Cost of 60 square centimeter paper is

[tex]60\times 2=120\text{ cents}[/tex]

Therefore, the cost to cover the entire box is 120 cents or $1.2.

Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =

M

2. Tan N =

3. Cos L =

10

N

4. Sin N =

Answers

Answer:

[tex]\sin L = 0.60[/tex]

[tex]tan\ N = 1.33[/tex]

[tex]\cos L = 0.80[/tex]

[tex]\sin N = 0.80[/tex]

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

[tex]MN = 6[/tex]

[tex]LN = 10[/tex]

First, we need to calculate length LM,

Using Pythagoras theorem:

[tex]LN^2 = MN^2 + LM^2[/tex]

[tex]10^2 = 6^2 + LM^2[/tex]

[tex]100 = 36 + LM^2[/tex]

Collect Like Terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

[tex]LM = 8[/tex]

Solving (a): [tex]\sin L[/tex]

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

Substitute values for MN and LN

[tex]\sin L = \frac{6}{10}[/tex]

[tex]\sin L = 0.60[/tex]

Solving (b): [tex]tan\ N[/tex]

[tex]tan\ N = \frac{Opposite}{Adjacent}[/tex]

[tex]tan\ N = \frac{LM}{MN}[/tex]

Substitute values for LM and MN

[tex]tan\ N = \frac{8}{6}[/tex]

[tex]tan\ N = 1.33[/tex]

Solving (c): [tex]\cos L[/tex]

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

Substitute values for LN and LM

[tex]\cos L = \frac{8}{10}[/tex]

[tex]\cos L = 0.80[/tex]

Solving (d): [tex]\sin N[/tex]

[tex]\sin N = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin N = \frac{LM}{LN}[/tex]

Substitute values for LM and LN

[tex]\sin N = \frac{8}{10}[/tex]

[tex]\sin N = 0.80[/tex]

Ling earns $8 per hour working at the zoo. Write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120. Interpret the solution.

Answers

Answer:

Ling should atleast work 15 hours a week to earn $120.

Step-by-step explanation:

Ling earn per hour = $8

Let the number of hours she worked to be x.

Now, inequality =  

[tex]8x \geq 120[/tex]

Dividing both side by 8.

[tex]\dfrac{8x}{8} \geq \dfrac{120}{8}[/tex]

[tex]x \geq 15[/tex]

Hence, Ling should atleast work 15 hours a week to earn $120.

Evaluate each algebraic expression for x = -2,3, -0.5, and 1 1/2
2). 4X. 3) 3x+2

PLEASE HELP URGET!!

Answers

Answer:

Step-by-step explanation:

2. 4x= 4*(-2)=-8

4x=4*(3)=12

4x=4*(-0.5)=-2

4x=4*3/2=6

the 3x+2

3x+2=3*(-2)+2=-6+2=-4

3x+2=3*(3)+2=11

3x+2=3*(-0.5)+2=-1.5+2=0.5

3x+2=3*(3/2)+2=9/2+2=13/2=6 1/2

b) Expand 3p(p+5)
c( Solve 4(k-6) = 20

Answers

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

6 ft
x ft
8 ft
12 ft

Answers

Answer:

576?

Step-by-step explanation:

I think...

When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.

Answers

Answer:

The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.

The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Let's consider dividing the unit fraction 1/3 by the whole number 2:

= 1/3 ÷ 2

= 1/3 x 1/2

= 1/6

We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.

This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.

This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.

In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.

This relationship holds true for any unit fraction and any whole number greater than 1.

The resulting quotient will always be smaller than the original unit fraction being divided.

Thus,

The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.

Learn more about fractions here:

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A powerful computer is purchased for $2500, but loses 18% of its value each year. How much will it be
worth 4 years from now?

Answers

Answer:

$1130.30

Step-by-step explanation:

Step one:

given data

cost of computer=  $2500

rate of loss per year= 18%

time t= 4 years

Step two:

let us computer the loss per year

Year 1 loss

worth= 2500- 2500*0.18

worth= 2500-450

worth= $2050

Year 2 loss

worth= 2050- 2050*0.18

worth= 2050-369

worth= $1681

Year 3 loss

worth= 1681-  1681*0.18

worth= 1681-302.58

worth= $1378.42

Year 4 loss

worth= 1378.42-  1378.42*0.18

worth= 1378.42-248.1156

worth= $1130.30

What is the slope of the line graphed above?

Answers

Answer:

m=3, or in y-intercept form, y=3x-3

Please hurry, I have to turn this in Today. I’ll be posting more questions on it.

Answers

Answer:

24 cm square

Step-by-step explanation:

Formula: ab/2. ( a* b = leg * leg)

6*8/2. (formula)

48/2 (simplify)

24 cm square ( answer)

Accuracy not garunteed

A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?

Answers

Answer:

point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.

y - 5 = 1/3 (x - (-2))

Step-by-step explanation:

Find the area and perimeter of this shape.

PLEASE show step-by-step.

Answers

Answer:

52 ft.

Step-by-step explanation:

there are 8 side that are 3 ft: 3×8=24

there are 4 sides that are 7 ft: 7×4=28

add it and you get: 24+28= 52

The area and perimeter of this shape are 133 ft² and 52 ft respectively.

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

Given that, a figure we need to find its perimeter and the area,

The figure we will be divided into 4 rectangles with sides 7 ft and 3 ft and a square, with side 7 ft

So, the area of the square = side²

= 7² ft²

= 49 ft²

Now, the area of a rectangle = length x width = 4 x 3 x 7 [since there are 4 rectangles]

= 4 x 3 x 7 = 84 ft²

The whole area = 84 + 49 = 133 ft²

Now, the perimeter = sum of the sides = 7 x 4 + 3 x 8 = 28 + 24 = 52 ft

Hence, the area and perimeter of this shape are 133 ft² and 52 ft respectively.

Learn more about area and perimeter click;

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(3 -1) y=1/3x-3 write an equation of the line that passes through the given point and is parallel to the given line

Answers

Answer:

[tex]y = 1/3x-2[/tex]

Step-by-step explanation:

General line equation:

[tex]\frac{y-y_{1}}{x-x_{1}} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

Or

[tex]y = a.x + b\\a = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\b = y_{1} - a.x_{1}[/tex]

where a is the slope and b is vertical displacement.

For a line to be parallel to another, they both have to have the same slope, therefor, the parallel line's slope is 1/3.

By substituting the given point and a = 1/3 in above equation for b, b is equal to -2. Therefore,

[tex]y = 1/3x - 2[/tex]

John's mother is three less than four times John's age. Their combined age is 37. What is John's age?

Answers

I think the answer is 8

Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.

Answers

Answer:

dial it up

2:16

simplify

1:8

now multiply 8 by the number of gigs

2:16

3:24

and so on.....

ring ring

1:9

again multiply the cost by the number of gigs

2:18

3:27

and so on....

One serving is 12 fries. How many servings could you get out of a bag of 96 fries?

Answers

Answer:

8 servings

Step-by-step explanation:

12 times 8 is 96 servings

Determine the value for x

Answers

Answer:

5 im pretty sure

Step-by-step explanation:

if im right, can you mark me brainliest?

which expression represents five times the sum of a number n and 12

Answers

Answer:

5n + 60

Step-by-step explanation:

5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60

Iesha is headed to the grocery store. She needs to buy eggs. If a dozen (12) eggs cost $10.68 how much will one egg cost at the same rate?

Answers

Answer:

$0.89 in other words 89 cents

Step-by-step explanation:

$10.68/12= 0.89

The answer above should be correct, but I believe it is, but can you please mark me BRAINLEST?

15 POINTS NEED HELP ASAP!!!!!!!!!!!!

Answers

Answer:

The same line.

Step-by-step explanation:

simplify m^12/m^3 pleaseeeee help meeeee

Answers

Answer:

m^12-3

m^9 is the answer

Step-by-step explanation:

Answer

M^9

Step by step

I need help please. Only answer if you know

Answers

Answer:

57

Step-by-step explanation:

first do what is in the brackets then the parentheses, then multiply the 3

Answer:57

Step-by-step explanation:

Help me help me help me help me help me help me help me help me help me help me help me help There is more than one answer

Answers

i think that's letter B & C

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

Combine like terms: 34z-7+15z

Answers

Answer:

49z - 7

Step-by-step explanation:

like term are having same variable and power.

By these explanation 34z+15z are added and -7 is keep as it is

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