Question

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

Answer 1

2520ft

Explanation:

Answer 2

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`