# 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. - Mathematics

Sum

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.

#### Solution

We have,

Height = Base radius i.e. h = r

As,

Volume of the cylinder = 25"1"/7 "cm"^3

=> 22/7xx"h"^2xx"h" = 176/7

=>22/7 xx "h"^2xx"h" = 176/7

=> "h"^3 = (176xx7)/(7xx22)

=> "h"^3 = 8

=> "h" = root(3)(8)

∴ h = 2 cm

so, the height of the cylinder is 2 cm.

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Exercise | Q 7 | Page 914