Question

A sphere and a cylinder each have the same radius. The cylinder has a height that is triple the radius. Which figure has a greater volume, the cylinder or the sphere?

Answer 1

we calculate the volume of the two solids

Sphere

`V_s=(4)/(3)*\pi* r^3`

Cylinder

`\begin{gathered} V_c=\pi* r^2* h \\ V_c=\pi* r^2*3r \\ V_c=\pi*3r^3 \end{gathered}`
`\begin{gathered} (4)/(3)*\pi* r^3 \\ \\ 3*\pi* r^3 \end{gathered}`

the comparison allows us to see that the volume of the cylinder is greater than that of the sphere