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Question : The surface area of a sphere is 616 cm2. The volume of the sphere would be:

Option 1: $1437\frac{1}{3}$ cm3

Option 2: $2100$ cm3

Option 3: $2500$ cm3

Option 4: $1225\frac{3}{5}$ cm3


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: $1437\frac{1}{3}$ cm3


Solution : Given: The surface area of a sphere = 616 cm$^2$
We know that, The surface area of a sphere of radius $r$ = $4\pi r^2$
⇒ $4\pi r^2$ = 616
⇒ $4×\frac{22}{7}× r^2$ = 616
⇒ $r^2 = \frac{616×7}{4×22}= 49$
⇒ $r = 7$
Now, volume of sphere = $\frac{4}{3}\pi r^3$
= $\frac{4}{3}×\frac{22}{7}×7×7×7$
= $\frac{4312}{3} = 1437\frac{1}{3}$ cm3
Hence, the correct answer is $1437\frac{1}{3}$ cm$^3$.

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