Question

What is the volume of a sphere with a surface area of 9π yd2

Answer 1

V ≈ 2.54 and the surface is 9 so                                                                                                                                                                                                                             

Answer 2

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

Step-by-step 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

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

The volume of sphere is given by :-

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

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