Question

if the volume of a sphere is 36πcm3 find the volume of a cone with same radius and height of a sphere​

Answer 1

The volume of a cone is 9π cm³.

Explanation:

Given: Volume of a sphere = 36π cm³

radius = height = ?

Formula: Volume of a sphere = $\frac{4}{3} \pi r^{3}$

Volume of a cone = $\frac{1}{3}\pi r^2 h$

Substituting the values in the formula, we get

36π = $\frac{4}{3} \pi r^{3}$

36 = $\frac{4}{3}r^3$

36 x 3 = 4r³

r³ =$\frac{108}{4}$

r³ = 27

r³ = 3³

r = 3 cm = h.

Volume of a cone = $\frac{1}{3}\pi r^2 h$

= $\frac{1}{3}\times\frac{22}{7}\times 3^2\times 3$

= 9π cm³

The volume of a cone is 9π cm³.

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