The curved surface area of a cylinder is 1210 cm2 and its diameter is

1.	The curved surface area of a cylinder is 1210 cm2 and its diameter is 20 cm. Find its height and volume.
Answer» It is given that Curved surface area = 1210 cm² Diameter of the cylinder = 20cm Radius of the cylinder = 20/2 = 10cm We know that Curved surface area of the cylinder = 2 πrh By substituting the values 1210 = 2 × (22/7) × 10 × h So we get h = (1210 × 7) / (2 × 22 × 10) = 19.25 cm We know that Volume of cylinder = πr²h By substituting the values Volume of cylinder = (22/7) × (10)² × 19.25 So we get Volume of cylinder = 6050 cm³ Therefore, the height of cylinder is 19.25 cm and the volume is 6050 cm³.

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

Answer»

It is given that

Curved surface area = 1210 cm²

Diameter of the cylinder = 20cm

Radius of the cylinder = 20/2 = 10cm

We know that

Curved surface area of the cylinder = 2 πrh

By substituting the values

1210 = 2 × (22/7) × 10 × h

So we get

h = (1210 × 7) / (2 × 22 × 10) = 19.25 cm

We know that

Volume of cylinder = πr²h

By substituting the values

Volume of cylinder = (22/7) × (10)² × 19.25

So we get

Volume of cylinder = 6050 cm³

Therefore, the height of cylinder is 19.25 cm and the volume is 6050 cm³.