Question

the curved surface area of a right circular cylinder of height 14cm is 88.find the diameter of the base of the cylinder.

Answer 1

Here’s the answer . Hope it helps.

Answer 2

Answer:

Height of cylinder = 14 cm

Diameter of cylinder be x

Curved surface area of cylinder = 88 cm²

$\\ \\ \implies \sf \: 2\pi \: rh - 88 \: \: {cm}^{2} \\ \\ \\ \implies \sf \: \pi \: rh = 88 \: \: {cm}^{2}$

diameter = 2r

$\\ \implies \sf \: \frac{22}{7} \times x \times 14 = 88 \: \: cm \\ \\ \\ \implies \sf \: x \: 44 = 88 \\ \\ \\ \implies \sf \: \frac{88}{44} = 2 \\ \\ \\ \implies \sf \: x = 2 \: \: cm$

Therefore, the diameter of cylinder is 2 cm.