Question

A solid is composed of a cylinder with hemisperical ends on both the sides. The radius and the height of the cylinder are 20 cm and 35 cm respectively. Find the total surface area of the solid.

Answer 1

Given :

Radius of the cylinder = 20 cm

Height of the cylinder = 35 cm

Radius of cylinder = Radius of each hemisphere (r)= 35 cm

Total surface area of the solid = Curved surface area of cylinder +2× Curved surface area of hemisphere

TSA the solid = 2πrh + 2 × 2πr²

TSA the solid = 2πr ( h + 2r)

= 2 × 22/7 × 35 ( 20 + 2× 35)

= 2× 22× 5 ×(20+70)

= 220 × 90 = 19800 cm²

TSA the solid = 19800 cm²

Hence, the total surface area of the solid is 19800 cm².

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