I want to know the best answer of the question from Surface areas and Volumes chapter of class 9^{th} ncert math. The question from exercise 13.7 of math. Give me the easy way for solving this question of 3 The height of a cone is 15cm. If its volume is 1570cm3, find the diameter of its base. (Use π = 3.14)

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# The height of a cone is 15cm. If its volume is 1570cm3, find the diameter of its base. (Use π = 3.14) Q.3

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Height of the cone, h = 15 cm

Volume of cone =1570 cm

^{3}Let r be the radius of the cone

As we know: Volume of cone, V = (1/3) πr

^{2}hSo, (1/3) πr

^{2}h = 1570(1/3)×3.14×r

^{2 }×15 = 1570r

^{2}= 100r = 10

Radius of the base of cone 10 cm.