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 : The volume of shaded figure is,

Step-by-step explanation :

First we have to calculate the volume of small sphere.

Formula used :

where,

= volume of small sphere

r = radius of small sphere = 3 ft

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

Now we have to calculate the volume of larger sphere.

Formula used :

where,

= volume of larger sphere

r = radius of larger sphere =

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

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 =

Volume of shaded figure =

Therefore, the volume of shaded figure is,

2 is the final ! : )

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d