Maths-
General
Easy

Question

A Solid is in the form of a cylinder with hemispherical ends. The total height of solid is 19 cm and the diameter of the cylinder is 7 cm , Find the volume of the solid ?

Hint:

Volume of cylinder equals pi r squared h

The correct answer is: 641.66cm3


    Explanation:
    • A Solid is in the form of a cylinder with hemispherical ends. The total height of solid is 19cm and the diameter of the cylinder is 7cm.
    • We have to find the volume of solid.
    Step 1 of 1:
    The volume of the solid is sum of volume of cylinder and volume of hemisphere.
    Let be the radius of cylinder and be the height of the cylinder. Then,

    r equals 7 over 2 cm

    = 3.5cm

    And

    h = 19 - 2 cross times 3.5

    =12cm
    Also, Radius of hemisphere will be 7 over 2 space c m space equals space 3.5 c m
    Now,
    The volume of the solid is sum of volume of cylinder and volume of hemisphere

    equals pi r squared h plus 2 over 3 pi r cubed

    equals pi 3.5 squared cross times 12 plus 2 over 3 pi 3.5 cubed

    equals 641.66 cm cubed
    Therefore the volume of the solid will be 641.66cm3.

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