Question

Surface area of a sphere is 616 sqcm. Calculate the volume

• A. 1477.33 cm³
• B. 1437.33 cm³
• C. 1473.33 cm³
• D. 1437.03 cm³

Answer 1

The Correct Option is B

Given:
The surface area of the sphere = 616 cm² 
Formula Used: Surface area of sphere = 4 × \(\pi\)\(r^2\)
Volume of sphere = \(\frac{4}{3}\)×\(\pi\)\(r^3\)
Calculation:
Surface area of sphere = 4 × \(\pi\)\(r^2\)
⇒616 = 4 x (\(\frac{22}{7}\)) x \(r^2\)
⇒ \(r^2\) = 616 × \(\frac{7}{88}\)
⇒ \(r^2\) = 7 x 7
⇒ r = 7
Volume of sphere = (\(\frac{4}{3}\)) × \(\pi\)\(r^3\)
(\(\frac{4}{3}\)) x (\(\frac{22}{7}\)) × (7)³

⇒1437.33 cm³
So the correct option is (B):1437.33 cm³