Question

Volume of a cylinder is three times the volume of a on the same base and of the same height.

• A. another cylinder
• B. cone
• C. sphere

Answer 1

The correct option is B cone

Lets proove the volume of the cylinder is three times the volume of the cone.

The volume of the cylinder is given by
$V=\pi r^{2}h$

And the volume of the cone is given by
$V_{\left(C\right)}=\frac{1}{3}\pi r^{2}h$

$\because R=r;h=H$
So, $V=3V_{\left(C\right)}$

Therefore, the volume of the cylinder is three times the volume of the cone.