A cone with a radius of 12 cm and a height of 12 cm has the same volume as a cylinder with a radius of 8 cm. What is the height

Question

julia-pushkina [17]

3 years ago

13

A cone with a radius of 12 cm and a height of 12 cm has the same volume as a cylinder with a radius of 8 cm. What is the height

of the cylinder?

Mathematics

1 answer:

ololo11 [35] · Answer 1 · 2022-07-26T11:14:10+03:00

ololo11 [35]3 years ago

6 0

Volume of cone = 1/3 pi r(squared).h
Volume of Cylinder = pi r(squared).h

By the problem, they are equal.
So,
1/3 pi.12^2.12= pi 8^2.h
h= 144.4/64 =9
height of the cylinder is 9cms