What is the volume of a cylinder which has a lateral surface area 40π cm2 and height 5 cm?
Explanation:
Lateral surface area of a cylinder = 2πrh, where r is the radius of the base cylinder and h is the height of the cylinder.
∴ 2 × π × r × 5 = 40π
∴ r = 4 cm
∴ Volume of the cylinder = π × r2 × h= π × 42 × 5 = 80π cm3
Hence, option (b).
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