Question

The volume of a cylinder is 308 cm³ . Its height is 8 cm. Find its lateral surface area and total surface area.

Answer 1

Volume of the cylinder V = πr² h = 308 cm 

Height of the cylinder h = 8 cm 

∴ 308 = 22/7 . r² x 8

r² = 308 × 7/22 x 1/8

r² = 12.25

∴ r = √12.25 = 3.5cm

L.S.A. = 2πrh

= 2 × 22/7 × 3.5 × 8 = 176cm²

T.S.A. = 2πr (r + h) 

2 × 22/7 × 3.5 (3.5 + 8)

= 2 × 22 × 0.5 × 11.5 = 253 cm²