109k views
4 votes
The large sphere has a diameter of 12 feet.

What is the volume of the shaded figure? Express the
answer in terms of .
2520 ft
2617 ft
2887 ft

The large sphere has a diameter of 12 feet. What is the volume of the shaded figure-example-1

2 Answers

6 votes

Answer:

2520ft

Explanation:

User Slindberg
by
8.3k points
5 votes

Answer : The volume of shaded figure is,
791.28ft^3

Step-by-step explanation :

First we have to calculate the volume of small sphere.

Formula used :


V_1=(4)/(3)\pi r^3

where,


V_1 = volume of small sphere

r = radius of small sphere = 3 ft

Now put all the given values in the above formula, we get:


V_1=(4)/(3)* 3.14* (3)^3


V_1=113.04ft^3

Now we have to calculate the volume of larger sphere.

Formula used :


V_2=(4)/(3)\pi r^3

where,


V_2 = volume of larger sphere

r = radius of larger sphere =
(\Diameter)/(2)=(12ft)/(2)=6ft

Now put all the given values in the above formula, we get:


V_2=(4)/(3)* 3.14* (6)^3


V_2=904.32ft^3

Now we have to calculate the volume of shaded figure.

Volume of shaded figure = Volume of larger sphere - Volume of smaller sphere

Volume of shaded figure =
904.32ft^3-113.04ft^3

Volume of shaded figure =
791.28ft^3

Therefore, the volume of shaded figure is,
791.28ft^3

User Sidak
by
8.0k points

Related questions

asked Oct 7, 2024 178k views
Sesodesa asked Oct 7, 2024
by Sesodesa
8.7k points
1 answer
1 vote
178k views
asked Mar 6, 2021 225k views
Mads Laumann asked Mar 6, 2021
by Mads Laumann
8.1k points
1 answer
1 vote
225k views
asked Mar 10, 2021 150k views
Vdaubry asked Mar 10, 2021
by Vdaubry
8.0k points
2 answers
2 votes
150k views