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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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