Question

the volume of cylinder is 539cm^3 ahd the circumference of the base is 22cm. find the height

Answer 1

To Find :-

• The height of a cylinder.

Solution :-

Given,

• Volume of cylinder = 539 cm³
• Circumference of the base = 22 cm

As we know that,

↪Circumference of the base = 2πr

↪ 22 = 2πr

↪ πr = 22/2

↪ πr = 11

↪ 3.14 × r = 11

↪ r = 11/3.14

↪ r = 3.5 cm

Now, we know that,

↪ Volume of cylinder = πr²h

↪ 539 = 3.14 × (3.5)² × h

↪ 539 = 3.14 × 12.25 × h

↪ 539 = 38.465 × h

↪ h = 539/38.465

↪ h = 14 cm

Therefore,

The height of a cylinder is 14 cm.