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Question

Match the correct expression for volume of the following 3D - shapes.

A
a3
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B
43πr3
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C
23πr3
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D
π r2h
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Solution


Let length of each side of the cube is a units.

Volume of cube = Side3

Volume of the cube = a3


Let radius of the cylinder is r units and height of the cylinder is h units.

Volume of cylinder =base area × height =πr2×h =πr2h
Volume of the cylinder = πr2h


Let radius of the sphere is r units.
Volume of the sphere = 43πr3


Let radius of the hemisphere is r units.
Volume of the hemisphere
=12×Volume of the sphere=12×43πr3=23πr3

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