A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?

Let r be radius of a cylinder, a cone and a hemisphere respectively and h be the height of the cylinder, a cone and hemisphere respectively.
Then, h = r
V₁ = Volume of a cylinder = $πr squared straight h comma$
Now, V₂ = Volume of a cone = $1 third πr squared straight h$
and V₃ = Volume of a hemisphere = $2 over 3 πr cubed$

$therefore space space space straight V subscript 1 colon space straight V subscript 2 space colon space straight V subscript 3 equals space πr squared straight h space colon space 1 third πr squared straight h space colon space 2 over 3 πr cubed rightwards double arrow space straight V subscript 1 colon space straight V subscript 2 space colon space straight V subscript 3 space equals space 3 straight h space colon space straight h space colon space 2 straight r rightwards double arrow space space straight V subscript 1 colon space straight V subscript 2 space colon space straight V subscript 3 equals space 3 space colon space 1 space colon space 2$

3896 Views

Surface Areas and Volumes

Hope you found this question and answer to be good. Find many more questions on Surface Areas and Volumes with answers for your assignments and practice.

Mathematics

Browse through more topics from Mathematics for questions and snapshot.