Question

a cylinder has a radius of 5 cm and a height of 12 cm. What would the height of a cone need to be if it has the same volume and radius

Answer 1

Answer: 36 cm

Explanation:

given that the volume of a cylinder is V=π
`r^(2)`h

we need to find this volume first. plugging in the information, we have V=300pi

now we set this equal to the volume formula for a cone:

300pi = pi * (r^2) * (h/3)

subbing in r as 5, and solving for h, we find that h=36