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Question

Jack has a toy in which half of the cylindrical shape is surmounted on a cuboid as shown in the figure below.

Total volume of the given solid is

A
365.71 cm3
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B
302.855 cm3
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C
302.855 cm3
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Solution

The correct option is B 302.855 cm3
Total volume of a given solid = Volume of Cuboid + 12 Volume of cylinder

Find the volume of Cuboid:
Length = 10 cm
Breadth = 4 cm
Height = 6 cm

Volume of cuboid = length × breadth × height
= 10 × 4 × 6 = 240 cm3

Find the volume of a cylinder:
Height of cylinder = 10 cm
Diameter of cylinder = Breadth of cuboid = 4 cm
Radius of cylinder = 2 cm

Volume of a cylinder=πr2h
=227(22)×10 cm
=125.71 cm3

Total volume of a given solid = Volume of Cuboid + 12 Volume of cylinder
=240 cm3+125.712 cm3
=240+62.855
=302.855 cm3


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