Question

A cylindrical hole of diameter 30 cm is bored through a cuboid wooden block with side 1 meter as shown in figure. Find the volume of the object so formed $(\pi =3.14)$

Answer 1

Volume of the object $=$ Volume of the cuboid $-$ Volume of the cylinder
Volume of a cuboid of length l, breadth b and height h $=l\times b\times h$.
As, all the sides of the cuboid are equal, volume of the cuboid $=1m\times 1m\times 1m=1m^3=1000000{cm}^3$
Volume of a Cylinder of Radius "R" and height "h" $=\pi R^{2}h$

The Radius of the given cylinder is $\frac{30}{2}=15cm$ and its height is $1m=100cm$
Hence, volume of the given cylinder $=3.14\times 15\times 15\times 100=70650{cm}^3$

Hence, volume of the object $=1000000-70650=0.9292857m^3=929350{cm}^3$