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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)`
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Knowledge Check

  • 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
    Both A and R are true and R is the correct explanation of A.
    B
    Both A and R are true and R is not the correct explanation of A.
    C
    A is true but R is false
    D
    A is false but R is true

  • 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
    `104 cm^(3)`
    B
    `162 cm^(3)`
    C
    `427 cm^(3)`
    D
    `266 cm^(3)`

  • 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.

    A
    `1:3`
    B
    `1: sqrt3`
    C
    `1:2`
    D
    none of these

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