The volume of a cylinder is 81 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explan

Question

Anon25 [30]

3 years ago

11

The volume of a cylinder is 81 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explan

ation and proof for your answer.

Mathematics

1 answer:

expeople1 [14] · Answer 1 · 2022-02-11T16:07:48+03:00

expeople1 [14]3 years ago

8 0

V ( cylinder ) = r² π h
V ( cone ) = 1/3 r² π h
A cone that fits exactly inside the cylinder has the volume:
V ( cone ) = 1/3 V ( cylinder = 1/3 · 81 = 27 ft³