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Question

A pen stand is made of wood in the shape of cuboid with three concial depressions to hold the pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depression is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.

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Solution

Volume of cuboid =lbh
=15×10×3.5=525cm3.
Volume of 3 conical depressions =3×13πr2h
=π(0.5)2(1.4)=1.1cm3
Volume of wood =5251.1
=523.9cm3.

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