Question

Seenu’s house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (underground tank) which is in the shape of a cuboid. The sump has dimensions 2 m x 1.5 m x 1 m. The overhead tank has its radius of 60 cm and height 105 cm. Find the volume of the water left in the sump after the overhead tank has been completely filled with water from the sump which has been full, initially.

Answer 1

Volume of water in the sump = lbh

= 2 x 1.5 x l = 200 x 150 x 100 = 3000000 cm³

Volume of water in the overhead tank = πr²h

= \(\frac{22}{7}\) x 60 x 60 x 105

= 1188000 cm³

∴ The volume of water left in the sump = 3000000 – 1188000

= 1812000 cm³