The height of a cone is 15 cm. If its volume is 1570 cm^{3}, find the diameter of its base. [Use π = 3.14]

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#### Solution

Height (*h*) of cone = 15 cm

Let the radius of the cone be *r*.

Volume of cone = 1570 cm^{3}

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

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

⇒ r^{2} = 100 cm^{2}

⇒ *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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