Question

If the volume of right circular cone of height 9 cm is 48 pie cm cube , find the diameter of its base .



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Answer 1

Queation :-

• If the volume of right circular cone of height 9cm is 48πcm³, find the diameter of its base ?

Given :-

• Hight of cone = h = 9cm
• Voume of cone = 48πcm³

To Find :-

• Diameter

Solution :-

Let base radius = r

Volume of cone = 48π

$\frac{1}{3} π {r}^{2} = 48π$

$\frac{π {r}^{2} \times 9 }{3} = 48π$

${r}^{2} = \frac{48π}{3π} = 16$

${r}^{2} = 4cm$

Hence, Diameter = 2×4 = 8

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