# The volume of a cylinder whose radius r is equal to its height is

a) (1/4)πr³

(b) πr³/32

(c) πr³

(d) r³/8

**Solution:**

The volume of a cylinder is = πr²h (1)

Where

r = radius of the cylinder

h = height of the cylinder

If height of the cylinder = radius of the cylinder implies

h = r

Therefore equation (1) is modified to:

πr²h = πr²(r) = πr³

The answer is choice ( c ).

**✦ Try This: **The volume of a cylinder whose radius r is equal to its half the height is (a) 2πr³, (b) πr³/32, (c) πr³, (d) r³/8

The volume of a cylinder is = πr²h (1)

Where

r = radius of the cylinder

h = height of the cylinder

If height of the cylinder = radius of the cylinder implies

r = h/2

Therefore equation (1) is modified to:

πr²h = πr²(2r) = 2πr³

The answer is choice (a).

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 11

**NCERT Exemplar Class 8 Maths Chapter 11 Problem 14**

## The volume of a cylinder whose radius r is equal to its height is (¼)πr³ (b) πr³/32 (c) πr³ (d) r³/8

**Summary:**

The volume of a cylinder whose radius r is equal to its height is πr³

**☛ Related Questions:**

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