Question

If the radius of a base and height of a cylinder and cone are each equal to 'r' the radius of a hemisphere is also equal to 'r'. The volume of cone, cylinder and the hemisphere are in the ratio :

Answer 1

Answer:

1:1:3

Step-by-step explanation:

Given: Height = Radius = r

• Volume of a Cylinder :

$\pi r^{2}r \\ = \pi r^{3}$

• Volume of a Cone :

$1 \div 3 \pi r^{2} r \\ = 1 \div 3\pi r^{3}$

• Volume of a Hemisphere :

$2 \div 3\pi r^{3}$

Then the Ratio is :

$\pi r^{3}\div 1 \div 3\pi r {}^{3} \div 2 \div 3\pi r ^{3}$

=1:1:2