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 × 1.5 m × 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

Length of the cuboid tank (l) = 2 cm = 200 cm

Breadth of the cuboid tank (b) = 1.5 cm = 150 cm

Height of the tank (h) = 1 m = 100 cm

Volume of the cuboid = l × b × h cu.units

= 200 × 150 × 100 cm³

= 30,00,000 cm³

Radius of the tank (r) = 60 cm

Height of the tank (h) = 105 cm

Volume of the cylindrical tank = πr²h cu.units

= `22/7 xx 60 xx 60 xx 105  "cm"^3`

= 22 × 60 × 60 × 15 cm³

= 1188000 cm³

Volume of water left in the sump = Volume of the sump – Volume of the tank

= 3000000 – 1188000 cm³

= 1812000 cm³