# If the volume of a right circular cone of height 9 cm is 48π cm^3, find the diameter of its base. - Mathematics

If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.

#### Solution

Height (h) of cone = 9 cm

Let the radius of the cone be r.

Volume of cone = 48π cm3

rArr1/3pir^2h=48picm^3

rArr(1/3pir^2xx9)cm=48picm^3

⇒ r2 = 16 cm2

⇒ r = 4 cm

Diameter of base = 2r = 8 cm

Concept: Volume of a Right Circular Cone
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#### APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.7 | Q 4 | Page 233