1 Answer

TechGaurdian · Answer 1 · 2018-01-26T23:20:50+0000

Answer:
$14.13\text{ yd}^3$

Explanation:

The surface area of a sphere is given by :-

$S.A.=4\pi r^2$ , where r is the radius of the sphere.

Given : Surface Area of sphere=
$9\pi\ \text{yd}^2$

By the above formula , we have

$9\pi=4\pi r^2\\\\\Rightarrow\ r^2=(9)/(4)\\\\\Rightarrow\ r=(3)/(2)=1.5\text{ yd}$

The volume of sphere is given by :-

$V=(4)/(3)\pi r^3\\\\\Rightarrow\ V=(4)/(3)(3.14)(1.5)^3=14.13\text{ yd}^3$

Hence, the volume of sphere =
$14.13\text{ yd}^3$

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