Question

The large sphere has a diameter of 12 feet.

Answer 1

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 :

$V_1=\frac{4}{3}\pi r^3$

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:

$V_1=\frac{4}{3}\times 3.14\times (3)^3$

$V_1=113.04ft^3$

Now we have to calculate the volume of larger sphere.

Formula used :

$V_2=\frac{4}{3}\pi r^3$

where,

$V_2$ = volume of larger sphere

r = radius of larger sphere = $\frac{\Diameter}{2}=\frac{12ft}{2}=6ft$

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

$V_2=\frac{4}{3}\times 3.14\times (6)^3$

$V_2=904.32ft^3$

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, $791.28ft^3$

Answer 2

Answer:

2520ft

Step-by-step explanation: