Question

Find the volume of the of the shaded area for the solid below.

Answer 1

Below

Explanation:

First we can find the volume of the box

v = lwh

v = (20)(16)(16)

v = 5120 in^3

Find the volume of the cylinder using this formula

V = πr^2h

V = π(5)^2(20)

V = 1570.79633 (plug this into the final equation, not the rounded one in case it screws up the final value)

V = 1570.8 in^3

Now we can find the volume of the shaded region by subtraction

5120 - 1570.7963= 3549.2037

Rounding to the nearest 10th and you get....

V = 3549.2

Hope this helps!