145k views
5 votes
Consider this composite figure.

2 cones. The top cone has a height of 5 centimeters and radius of 3 centimeters. The bottom cone has a height of 8 centimeters and radius of 3 centimeters.

Apply the formula of each shape to determine the volumes.



What is the exact volume of the composite figure?

1 Answer

3 votes

Answer:


V=39\pi\ cm^3

Explanation:

we know that

The volume of a cone is given by the formula


V=(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=(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=(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

User EhevuTov
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories