Home
Class 10
MATHS
A solid is in the shape of a cone sta...

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of `pi` .

Text Solution

Verified by Experts

The correct Answer is:
`pi cm ^(3)`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    OSWAL PUBLICATION|Exercise NCERT CORNER (EXERCISE -13.3)|9 Videos

  • SURFACE AREAS AND VOLUMES

    OSWAL PUBLICATION|Exercise NCERT CORNER (EXERCISE -13.4)|5 Videos

  • SURFACE AREAS AND VOLUMES

    OSWAL PUBLICATION|Exercise NCERT CORNER (EXERCISE -13.1)|9 Videos

  • STATISTICS

    OSWAL PUBLICATION|Exercise Assertion and Reasoning Based Questions|2 Videos

  • TRIANGLES

    OSWAL PUBLICATION|Exercise Self Assessment|4 Videos

Similar Questions

Explore conceptually related problems

A solid is in the shape of a cone standing on a a hemisphere with both their radii being equal to 1cm and the height of the cone is equal to its radius.Find the volume of the solid in terms of pi

A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 8 cm and the height of cone is equal to its radius . Find the volume of solid.

Assertion (A) : A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. The volume of the solid is pi cm^3 . Reason (R) : Volume of cone = (1)/(3) pi r^(2)h and volume of hemi-sphere = (2)/(3) pi r^(3)

A solid is in the shape of a cone surmounted on a hemi-sphere, the radius of each of them is being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid. (Use pi=22//7 )

If the height of a cone is equal to diameter of its base, the volume of cone is______.

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy (nearly).

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.

A cone and a hemisphere have equal bases and equal volumes. What is the ratio of the height of the cone to the radius of the hemisphere?

A solid is in the shape of a cone mounted on a hemisphere of same base readius. If the curved surface areas of the hemisphere part and the conical part are equal then find the ratio of the radius and the height of the conical part.