A solid object made up of wood is in the shape of a cylinder with
4 cuboidal depressions. The radius and height of the cylinder is 7
cm and 10 cm, respectively. The dimensions of the cuboid are 2
cm x 3 cm x 4 cm. Find the volume of wood in the solid object
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Dimensions of the pan stand are
l=15cm
b=10cm
h=3.5cm
⇒ Volume=l×b×h
=15×10×3.5
=525cm3
4 conical depressions are taken out to make pen holders.
⇒ Volume taken out =4(volume of one cone)
=4(31πr2h)
Radius(r)=0.5cm
Height(h)=1.4cm
⇒ Volume taken out=34×722×0.5×0.5×1.4
=1.466cm3
⇒ Volume of wood in stand=525−1.466
=523.534cm3
=523.53cm3.
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