Question

The volume of a right circular cylinder with its height equal to the radius is 25 1/7 cm³. Find the height of the cylinder.

Answer 1

We have,

Height = Base radius  i.e. h = r

As,

Volume of the cylinder = \(25 \frac 17 cm^3\)

⇒ \(\frac{22}{7} \times h^2 \times h = \frac{176}7\)

⇒ \(h^3 = \frac {176\times 7}{7 \times 22}\)

⇒ \(h^3 = 8\)

⇒ \(h = \sqrt[3]8\)

\(\therefore h = 2 cm\)

So, the height of the cylinder is 2 cm.

Answer 2

Volume of the right circular Cylinder = 176/7 cm³

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

⇨ h = r

We know, Volume of the right circular Cylinder = πr²h

πr²h = 176/7

22/7 × h² × h = 176/7

h³ = 8

or h = 2 cm

Height of the cylinder is 2 cm.