Answer in Brief
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the ratio of their volumes?
Advertisement Remove all ads
Solution
Let r be the radius of the base.
And h is the height.
Here, h = r.
Now,
The ratio of their volumes will be
Volume of cone: volume of hemisphere: volume of a cylinder
`1/3pir^2 h : 2/3pir^3 : pir^2 h `
`V_1 :V_2 :V_3 = 1/3pir^3 : 2/3 pir^3 : pir^3`
Hence , `V_1 : V_2 :V_3 = 1:2:3`
Concept: Frustum of a Cone
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads