A buoy is constructed out of the bottom half of a sphere with a cone on top. The radius of the sphere and the radius of the cone is 6 ft. The height of the buoy is 10 ft. What is the volume of the buoy?
Enter your answer, in exact form, in the box.

Answers

Answer 1

Answer:

The correct answer is 192pi

Step-by-step explanation:

I took the test and this was the correst answer

Answer 2

Composite shapes are made up of two or more shapes. The required volume of the composite shape in exact form is 498π cubic feet

How to calculate the volume of composite shapes?

Composite shapes are made up of two or more shapes. According to the given question, the buoy is made up of a cone and sphere.

The volume of the buoy = volume of sphere + volume of the cone

Find the volume of the sphere

Vs = 4/3πr³
Vs = 4/3π(6)³
Vs = 288π cubic feet

Find the volume of the cone

Vc = 1/3πr²h
Vc = 1/3π(6)²(10)
Vc = 120π cubic feet


Volume of the buoy =  288π + 120π
V = 498π cubic feet

Therefore the required volume of the buoy in exact form is 498π cubic feet

Learn more on volume of composite shape here: https://brainly.com/question/12693294


Related Questions

Anyone know the sensitivity analysis and duality?

Answers

Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.

Step-by-step explanation:

I NEED HELPPPPP PLEASE ​

Answers

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

tiny pulls with a force of 240n and utoy pull with a force of 200n. The angle between the force is 37 degree. What is th magnitude of the resultant force on the basket?

Answers

Answer:

R=417.46 N

Step-by-step explanation:

If ans is correct you can ask me for explanation .

james earns $3,129 a month. He is saving 1/3 of his income each month for a down payment on his home at the end of the year. How much money will james be saving each month?

Answers

Answer:

1,043

Step-by-step explanation:

To find this, multiply 1/3 x the monthly income.

1/3(3,129)

1,043

-Xax

$1043 money will james be saving each month.

what is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

James earns $3,129 a month.

He is saving 1/3 of his income each month.

So, money will james be saving each month

= 3129 x 1/3

= 1043

Hence, $1043 money will james be saving each month.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ6

inverse of f(x)=4-x^1/3

Answers

Answer:

[tex]f^{-1}(y)=(y+4)^3[/tex]

Step-by-step explanation:

f(x) = 4 -x^1/3

y = 4 - x^1/3

y + 4 = x^1/3

raise both sides to a power of 3

(y+4)^3 = x

x = (y+4)^3

[tex]f^{-1}[/tex](y)= (y+4)^3

If x = 3 and y = 25, what is the value of (xy )0?

Answers

Answer:

you are the only person I can talk about and what you think of

Answer:

The value of (xu)0 will be 1.

Step-by-step explanation:

If power of any number or letter is 0, it will be 1.

Roberta had money in his savings account. She spent $65 of it on a new pair of shoes. She has $78 left. How much money did she have in her savings before she bought the shoes?

Answers

Answer:

$ 143

Step-by-step explanation:

she had $ x before she spent the money

x - 65 = $ 78

x = $ 143

what is 2+2 ?



im felling nice

Answers

Answer:

4

Step-by-step explanation:

if you had 2 cake mixes, and you had 2 more, you add them together and create 4 cake mixes and get a bigger cake. lol

Thanks so much!! Have a great rest of your day! ^^

solve for x using distributive property

2(x+7)=13

and

5(x-7)=17

Answers

Answer:

x= −1/2, x=52/5

Step-by-step explanation:

2(x+7)=13

(2)(x)+(2)(7)=13(Distribute)

2x+14−14=13−14

2x=−1

2x/2=−1/2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

5(x−7)=17

(5)(x)+(5)(−7)=17(Distribute)

5x+−35=17

5x−35=17

5x−35+35=17+35

5x=52

5x/5=52/5

Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?

Answers

Answer:

$632

Step-by-step explanation:

Set up an equation:

$30(20 hours) + ($400 × 0.08)

$600 + $32

$632

of the 12 eggs in the carton, 3 were broken. What percent were broken?​

Answers

Answer:

25%

Step-by-step explanation:

plz mark brainliest    also the other answer is correct i just didnt show how

                                 

Answer:

25%

Step-by-step explanation:

3/12=d/100

12d=300

12÷12d=d

300÷12=25

d=25

hope this helps

Type in your answer with no spaces and all lower case x.
Factor x^2−100

Answers

Answer:

(x-10)(x+10)

Step-by-step explanation:

the answer is:(x-10)•(x+10)

Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?

Answers

There is 5.6 dollars at the end of the school week

Justin car can travel 75 miles using 3 gallons of gas. At this rate, how far, in miles, can Justin travel using 8 gallons of gas????

Answers

Answer:

Justin travels 211.83 miles on 8.2 gallons of gas.

Step-by-step explanation:

77.5 miles / 3.1 gallons = x miles / 8.2 gallons

Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.

8.2 gallons *77.5 miles / 3.1 gallons = x

635.5/ 3.1 = x

211.83 miles = x

What percentage of students in this dot plot spent more than 5 hours on homework?
(Hint: there are 25 dots in total)

Answers

Answer:

5

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

ILL GIVE BRAINLEST, tell whether the angles are adjacent or vertical then find the value of x

Answers

Answer:

Step-by-step explanation:

x = 100°

Step-by-step explanation:

They are adjacent.

x + 80 = 180

x = 100°

Pls answer thankyouuuu NO ABSOLUTELY NO LINKS OR I WILL THROW MY PHONE AT U

Answers

Answer:

option a. true.

.............

Answer:

Nice and simple :)

TRUE :)

go0ge,com

Step-by-step explanation:

The Least Squares Assumptions ​, where 1. The error term has conditional mean zero given ​: ​; 2. ​, are independent and identically distributed​ (i.i.d.) draws from their joint​ distribution; and 3. Large outliers are​ unlikely: and have nonzero finite fourth moments. Suppose the first assumption is replaced with . What happens to ​? A. The slope changes to . B. The intercept changes to . C. Nothing changes. D. Both the intercept and the slope change to and respectively. Are the rest of the OLS assumptions​ satisfied? A. OLS assumption​ (3) is satisfied but not​ (2). B. Both OLS assumptions​ (2) and​ (3) are satisfied. C. OLS assumption​ (2) is satisfied but not​ (3). D. Neither OLS assumption​ (2) nor​ (3) is satisfied.

Answers

Step-by-step explanation:

is satisfied but not (3). D. Neither OLS assumption (2) nor (3) is satisfied.

help asap pleaseeeeeeeeee

Answers

Answer:

1=c

2=b

3= -2

4= (1,10)

Step-by-step explanation:

Type your answer in the box.
The sample standard deviation of the data set 3, 4, 5, 6, and 7 is
final answer to 1 decimal place.)
Do you know the answ

Answers

Answer:

The standard deviation of the set is: 1.5

Step-by-step explanation:

The actual standard deviation is 1.58... but to 1 decimal place it's 1.5

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=

Answers

Answer:

132

Step-by-step explanation:

We can break up the 4's and add them that way.

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=132

So take lets say 4, 4's we know that 4*4=16

so keep going until you get to 132!!!

Hope this helps!

Have a great day!

-Lea

Answer:

132

Step-by-step explanation:

Helpppppppp details in picture

Answers

The correct answer is 10 to the 4.

evaluate 13+ 6/y when y=6

Answers

Answer:

14

Step-by-step explanation:

13+6/6=13+1=14

Answer:

14

Step-by-step explanation:

13+6/6=13+1=14

14 is the answer

Which solid has one rectangular base and four lateral faces in the shape of triangles?
rectangular prism
rectangular pyramid
square pyramid
triangular prism

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

Which solid has one rectangular base and four lateral faces in the shape of triangles? rectangular prismrectangular pyramidsquare pyramidtriangular prism

Step-by-step explanation:the answer is B

Help please I’ll give extra points

Answers

Answer:

The perimeter of the resulting image is 13 centimeters

Step-by-step explanation:

we know that

Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.

In this problem, we have rotation and reflection

therefore

The perimeter of the resulting figure is the same as the original figure


2, 6, 10, 15, ...

O Arithmetic
O Geometric
O Neither

Answers

Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

[tex]6-2=4[/tex]

[tex]10-6=4[/tex]

[tex]15-10=5[/tex]

Since [tex]4\neq 5[/tex], therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

[tex]\dfrac{6}{2}=3[/tex]

[tex]\dfrac{10}{6}=\dfrac{5}{3}[/tex]

Since [tex]3\neq \dfrac{5}{3}[/tex], therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.

In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.

Answers

Answer:

ST = 44.54 ft

Explanation:

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

A sports fan conducted a test to investigate whether male high school athletes are
equally divided among football, soccer, swimming, tennis, and basketball. A sample of
male high school athletes was selected and the resulting value of the chi-square test
statistic was 10.65. Which of the following represents the p-value?

Answers

Answer:

B

Step-by-step explanation:

p(x^2>10.65)=0.03

¼ y + ⅜ ? I don't know what to do

Answers

Answer:

isn't that a graph perhaps ?

Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2

Find the product of the following

1. (2x - 5)(2x + 5)

2. (5b - 6y)(5b + 6y)

3. (4k + 7)(4k - 7)

4. (y - 5)(y + 5)

5. (3x - 2)(3x + 2)

6. (13x + 2x^3)(13x - 2x^3)

7. (2a + 1)(2a - 1)

8. (9y^2 + 8)(9y^2 - 8)

Answers

Step-by-step explanation:

hey, hope this helps. :)

Answer:

The solution is 6-->4-->9-->7-->1

Step-by-step explanation:

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