Question

The radius and height of a cylinder are in the ratio 2:3.If its curved surface area is 300pi cm^2,find its volume (take pi=3.14)

Answer 1

Answer: the volume is approximately 4712.39 cm³

Step-by-step explanation:

Let the radius be 2x = r

Let the height be 3x = h

Curved surface area of a cylinder is 2 * π * r * h

=> 2 * π * 2x * 3x = 300 * π

=> x² = 100 / 4

=> x = 10 / 2 = 5

Thus, the radius = 2*5 = 10 cm

The height = 3*5 = 15 cm

Volume = π * r² * h

=> π * 10 * 10 * 15 ≈ 4712.39 cm³

Thefore the volume is approximately 4712.39 cm³

Please brainlist my answer, if helpful!