Question

The surface area of a sphere is 452 1/7 cm2 find its volume

Answer 1

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Answer 2

The volume is 905.14 cm³.

Step-by-step explanation:

Given : The surface area of a sphere is $452 \frac{1}{7}$ cm².

To find : Its volume ?

Solution :

Given surface area is $452 \frac{1}{7}=\frac{3165}{7}$ cm²

The surface area of sphere is $SA=4\pi r^2$

$\frac{3165}{7}=4\times \frac{22}{7}\times r^2$

$r^2=\frac{3165\times 7}{7\times 4\times 22}$

$r^2=\frac{3165}{88}$

$r=\sqrt{\frac{3165}{88}}$

$r=5.9$

$r\approx 6$

The volume of the sphere is $V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\times \frac{22}{7}\times(6)^3$

$V=\frac{4}{3}\times \frac{22}{7}\times 216$

$V=905.14\ cm^3$

Therefore, the volume is 905.14 cm³.

#Learn more

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