Question

# A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volume is

Solution

## Volume of cone $$=\dfrac { 1 }{ 3 } \pi { r }^{ 2 }h$$Volume of cylinder $$=\pi { r }^{ 2 }h$$Volume of hemisphere $$=\dfrac { 2 }{ 3 } \pi { r }^{ 3 }$$These stand on common base & of same height, so that $$r=h$$Now, $$\dfrac { 1 }{ 3 } \pi { r }^{ 3 }:\dfrac { 2 }{ 3 } \pi { r }^{ 3 }:\pi { r }^{ 3 }=1:2:3$$Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More