# The height of a cone is 15 cm. If its volume is 1570 cm^3, find the diameter of its base. - Mathematics

The height of a cone is 15 cm. If its volume is 1570 cm3, find the diameter of its base. [Use π = 3.14]

#### Solution

Height (h) of cone = 15 cm

Let the radius of the cone be r.

Volume of cone = 1570 cm3

1/3pir^2h=1570cm^3

rArr(1/3xx3.14xx r^2 xx15)cm = 1570cm^3

⇒ r2 = 100 cm2

⇒ r = 10 cm

Therefore, the diameter of the base of cone is 10 x 2 = 20 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 3 | Page 233