Question

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

Answer 1

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`