Hello sir i want to know the best solution of the question from exercise 13.7 of math of Surface areas and Volumes chapter of class 9th give me the best and easy for solving this question how i solve it of question no.4 If the volume of a right circular cone of height 9cm is 48πcm3, find the diameter of its base.
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If the volume of a right circular cone of height 9cm is 48πcm3, find the diameter of its base. Q.4
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Height of cone, h = 9cm
Volume of cone =48π cm3
Let r be the radius of the cone.
As we know: Volume of cone, V = (1/3) πr2h
So, 1/3 π r2(9) = 48 π
r2 = 16
r = 4
Radius of cone is 4 cm.
So, diameter = 2×Radius = 8
Thus, diameter of base is 8cm.