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Question:

If the lateral surface area of a cylinder is 94.2 cm² and its height is 5 cm, then find (i) radius of its base and (ii) its volume

Solution:

Given, h=5cm
Let radius=r
(i) Curved Surface Area
94.2cm²=2πrh
94.2cm²=2 × 3.14 × r × 5cm
r=3cm
(ii) Volume of cylinder
πr²h = 3.14 × 3 × 3 × 5 = 141.3cm³