Question

Consider this composite figure.

Answer 1

Answer:

$V=39\pi\ cm^3$

Step-by-step explanation:

we know that

The volume of a cone is given by the formula

$V=\frac{1}{3}\pi r^{2} h$

where

r is the radius of the circular base of cone

h is the height of the cone

step 1

Find the volume of the top cone

we have

$r=3\ cm\\h=5\ cm$

substitute

$V=\frac{1}{3}\pi (3)^{2} (5)$

$V=15\pi\ cm^3$

step 2

Find the volume of the bottom cone

we have

$r=3\ cm\\h=8\ cm$

substitute

$V=\frac{1}{3}\pi (3)^{2} (8)$

$V=24\pi\ cm^3$

step 3

Find the exact volume of the composite figure

Adds the volume of the top cone plus the volume of the bottom cone

$V=(15\pi+24\pi)=39\pi\ cm^3$

Answer 2

Answer: The answer is 39. It's correct:)