Question

The curved surface area of a cylinder is 1210 cm² and its diameter is 20 CM
Find its height and volume.

Answer 1

Find the radius:

Radius = Diameter ÷ 2

Radius =20 ÷ 2 = 10 cm

Solve h:

Curved surface area = 2πrh

Given that the curved surface area = 1210 cm² and radius = 10 cm

2π(10)h = 1210

20πh = 1210

h = 1210 ÷ 20π

h = 19.25 cm

Find the volume:

Volume = πr²h

Volume = π(10)²(19.25) = 6050 cm³

Answer: The height is 19.25 cm and the volume is 6050 cm³

Answer 2

hope it is helpful.