Question

Find the volume of a sphere whose surface area is 154 cm2. Ans.179 2/3 cm^3

Answer 1

The volume of the sphere is 179.667 cm³ or $179\frac{2}{3}$ cm³.

Step-by-step explanation:

The formula of surface area of a sphere is,

$SA=4\pi r^{2}$

Compute the value of r if SA = 154 as follows:

$SA=4\pi r^{2}\\154=4\pi r^{2}\\r=\sqrt{\frac{154\times 7}{4\times 22}}\\r=3.5$

The radius of the sphere is 3.5 cm.

Compute the volume of the sphere as follows:

$Volume =\frac{4}{3}\pi r^{3}=\frac{4}{3}\times \frac{22}{7}\times 3.5^{3}=179.667$

Thus, the volume of the sphere is 179.667 cm³ or $179\frac{2}{3}$ cm³.

Learn more:

https://brainly.in/question/985895