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

PLEASE ANSWER THE PIC BELOW

Answers

Answer: 11

Step-by-step explanation:

Since the equation of circumference is 2(r)pi

if 22pi=2(r)pi

then 22=2r

22=2r

r=11

how many pints are equal to 28 quartz​

Answers

Answer: 56

Step-by-step explanation: PLZ GIVE BRAINLIEST!

Answer: 56 pints

Step-by-step explanation: Hope this help

what is the area of the trapozoid?

Answers

Answer:

8units²

Step-by-step explanation:

area of trapezoid=½(a+b)*h

a=2

b=6

h=2

area of trapezoid=½(2+6)*2

area of trapezoid=½(8)*2

area of trapezoid=4*2

=8units²

Alright I’m not smart please help

Answers

Answer:

98 sq. in.

Step-by-step explanation:

Area of Triangle formula : 1/2 x Base x Height

1/2 x 14 x 14 =98

help pls ! need it asap

Answers

Answer:

m∠X = 110°

m∠V = 60°

Step-by-step explanation:

1.) Angle Y and W are equal from the markers, which means the angles are equal

35*2 = 70

180 - 70 = 110 ( You know it has to be greater than 90 because it's larger than a corner angle)

2.) This is another isosceles (equal angle and sides)

Some times all sides aren't equal on isosceles but you can see these are

180/3 = 60°

Can you guys help me real quick please

Answers

Answer: I believe the answer is 23k.

Step-by-step explanation:

Amar and his friends went to a movie at 3:55 P.M. The movie ended at 5:30 P.M.
How long was the movie?
The movie was
hour(s) and
minutes.
Amar got home 45 minutes after the movie ended.
What time did Amar get home?
Complete the explanation for how you found your answer.
You need to find
minutes after 5:30 P.M.
5:30 to 6:00 is
minutes, so 15 minutes more is
:15.

Answers

Answer: the movie was 1 hour and 35 minutes and Amar got home at 6:15 P.M.

Step-by-step explanation:

to find out how long the movie was you have to find the distance between the time frames 3:55 and 5:30.

3:55+1 hour= 4:55

4:55+5 minutes= 5:00

5:00+30 minutes= 5:30

Add the times to find how long the movie was.

This is how I found how long the movie was.

To find out when Amar got home you have to do the same thing as well.

5:30+30 minutes= 6:00

6:00+15 minutes= 6:15

Hope this helps!

Pls I neeed help very hard

Answers

Answer:

96 ft

Step-by-step explanation:

Well add the given numbers up and calculate unkown sides using given measurments

What is the total surface of the square
pyramid

Answers

Answer:

960.

Step-by-step explanation:

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

1. Supplementary angles

2.  alternate exterior

3. verticle angles

4. alternate interior

The box matches the numbers. 1 is the answer in the first box, and so on.

Let me know if you have any questions

Hurry only 5 minutes to answer!!!!!!!!!!!!!1111
Order the specified numbers from smallest to biggest.

Answers

Answer:

-12, -3/4, -0.4, 0.4, 3/4, 8

Step-by-step explanation:

Pls help with this problem. This is due today!

Answers

Answer:

2.8 > 2.8< i think

Step-by-step explanation:

solve for x in the equation

Answers

Answer:

third option

Step-by-step explanation:

subtract 125/4 from each side to get:

x² + 11x -1

use quadratic formula to get:

-11 ± √121 - 4(-1)/2

= -11 ± ([tex]\sqrt{125}[/tex]) / 2

* [tex]\sqrt{125}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

= -11 ± (5[tex]\sqrt{5}[/tex]) / 2

can someone actually help me :)

Answers

Answer:1 + 1

Step-by-step explanation:because 1+1 is 1+1

Write the equation of the line that passes through (7,-4) and (-1,-2) in slope-intercept form.

Answers

Answer:

y = -1/4x - 5/2

Step-by-step explanation:

-2- -4 /-1-7 = 2/-8 = -1/4

y+2 = -1/4(x+2)

y+2 = -1/4x - 1/2

y = -1/4x -5/2

Find the area of the following figure: 2ft 6ft 6ft 12ft

Answers

Answer:

96 ft²

Step-by-step explanation:

Area of triangle + area of square

Area of triangle = (base × height)/2

= 120/2=60

Area of square = 6 × 6=36

60 + 36= 96

Help ASAP please!!!!!!!!!!!

Answers

Answer:

im not sure but i think it is A...

Identity the coterminal angle between 360° and 360° for the angle - 120°
No

Answers

answer is 240 degrees

Sally drives from Turlock to Los Angeles at an
average speed of 60 miles per hour. Turlock is
approximately 300 miles from Los Angeles. Which
of the following graphs could give Sally’s
approximate distance d, in miles from Los Angeles,
in terms of time t, in hours? A, B, C, D, or E?

Answers

Answer:

A

Step-by-step explanation:

what is the measurements of the circle?​

Answers

Answer:

what is the circle

○ YW 42

The picture isn’t very clear so I’m not sure what is the question but you can find the measure of xw
78+42+xw=180
xw=60

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))

Answers

Answer:

1. 18.85in

4. 25.13m

Step-by-step explanation:

I got you

So to find the circumference of any circle we use the equation 2pi(r)

2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3

For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m

Please help i'll give brainliest please dont attach file

You and your friend skate at the same rate. You complete 7 laps in 9 minutes. How long does your friend take to complete 14 laps?

Answers

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Step-by-step explanation:

For BRAINLIST !!
Which table contains only values that
satisfy the equation y = 6x +2?

Answers

Answer:

C

Step-by-step explanation:

what was a similarty between the united states troops sent to the spanish- american war and troops sent to fight in world war 1

Answer:

c

Step-by-step explanation:

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

??????

Step-by-step explanation:

Answer:

wow this is not 40 points there u get no help

Step-by-step explanation:

Anyone else been saved by brainly?

Answers

Answer:

Yes, many times actually. I've aced tests because of brainly

Step-by-step explanation:

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. The average time a customer can expect to wait in line is:

Answers

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

[tex]s = \dfrac{60}{12}[/tex]

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]

To minutes;

[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]

= 18 minutes

A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5

Answers

Answer: c 4/5

Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped

Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is cubic feet, and the volume of fish tank B is cubic feet. So fish tank has a greater volume. Its volume is greater by cubic feet.

Answers

Answer:

The volume of fish tank A is 200  cubic feet, and the volume of fish tank B is 160  cubic feet. So fish tank  A

has a greater volume. Its volume is greater by  40  cubic feet.

-

I just finished the Unit Test and got it right, so I hope this helps.

(Bold is the answer(s) for each slot)

15 FT
-
12 FT
16 FT
9 FT
What is the Volume:
What is the Total Surface Area:

Answers

Answer:

28 ft

Step-by-step explanation:

i used my fingers

Which of these graphs represents a function ?

Answers

Answer:

Graph C

Step-by-step explanation:

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