The volume of a right circular cylinder with its height equal to the radius is . Find the height of the cylinder.

Question

Philoid · Accepted Answer

Given,

Radius of the right circular cylinder = 176/7 cm³

Height of the right circular cylinder = Radius of the right circular cylinder

So,

⇒ h = r

As,

Volume of the right circular Cylinder = 176/7 cm³

⇒ πr²h = 176/7

⇒ 22/7 × h² × h=176/7

⇒ h³ =176 × 7/7 × 22

⇒ h³ = 8

⇒ h = 3√8

Therefore,

h = 2 cm

So,

The height of the right circular cylinder is 2 cm