Question

if the lateral surface of a cylinder is 94.2cm^2 and its height is 5cm, then find
i)radius of base
ii)volume

Answer 1

here lateral surface area of cylinder is 94.2cm ^2
then
2 * pie * r* h = 94.2 
2* 22/7 * r * 5 = 94.2 
r  = 2.99 means r = 3cm (approx.)

volume of  cylinder = pie * r ^2 *h
= 22/7 * 3*3*5
= 141.42cm^3

Answer 2

Lateral surface area of sphere =2×π×radius of its base × height of cylinder
But as per question
Lateral surface area of sphere =94.2
2×π×radius of its base × height of cylinder=94.2 (but height of cylinder is 5cm)
2×π×radius of its base × 5= 94.2
radius of base=2.9
Volume of cylinder=π×radius of its base× radius of its base×height of cylinder
Volume of
cylinder=π×2.9×2.9×5
Volume of cylinder1=32.103971