If a cone and cylinder share the same radius and height what would be the volume of a cylinder if the volume of the cone is 30 cm

Question

asked Sep 1, 2023 133k views

1 Answer

Jjoelson · Answer 1 · 2023-09-06T14:59:51+0000

if a cone and cylinder share the same radius and height what would be the volume of a cylinder if the volume of the cone is 30 cm

step 1

Volume of the cone is equal to

$\begin{gathered} V=(1)/(3)\cdot B\cdot h \\ 30=(1)/(3)\cdot B\cdot h \\ 90=B\cdot h \end{gathered}$

where

B is the area of the base and h is the height of cone

step 2

the volume of cylinder is equal to

$V=B\cdot h$