Home
Class 10
MATHS
A cone and a hemisphere have equal ba...

A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.

Text Solution

Verified by Experts

The correct Answer is:
`2:1`
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Long Answer Questions|5 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Very Short Answer Questions|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Questions|1 Videos

Similar Questions

Explore conceptually related problems

A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is

A cone and a hemisphere have equal bases and equal volumes the ratio of their heights is 1:2 (b) 2:1 (c) 4:1 (d) sqrt(2)\ :\ 1

A cone and a sphere have equal radii and equal volumes. Find the ratio of the diameter of the sphere to the height of the cone.

A cone and a hemisphere have the same base and the same height. Find the ratio between their volumes.

A right cylinder , a right cone and a hemishpere have the same heightr and sthe same base area .Find the ratio of their (i) volumes (ii) total surface areas.

A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio 5 : 12, then the ratio of the total surface area of the cylinder to that of the cone is (a) 3 : 1 (b) 13 : 9 (c) 17 : 9 (d) 34 : 9

The radii of two cones are in the ratio 2 : 1, their volumes are equal. Find the ratio of their heights. (a) 1 : 8 (b) 1 : 4 (c) 2 : 1 (d) 4 : 1

A cone and a cylinder are having the same base. Find the ratio of their heights if their volumes are equal.

A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.

Two isosceles triangles have equal vertical angles and their areas are in the ratio 9:16 . Find the ratio of their corresponding heights.