Question

Formulas that may be useful relative to a sphere: V = 43πr3 and SA = 4πr2

Answer 1

Finding the radius from it's surface area, the volume of the sphere is of 268.08 cm³.

What are the surface area and the volume of an sphere?

For an sphere of radius r, we have that the surface area is given by:

$S = 4\pi r^2$

The volume is given by:

$V = \frac{4\pi r^3}{3}$

Considering the surface area of 200.96 cm², the radius is given by:

$S = 4\pi r^2$

$200.96 = 4\pi r^2$

$r = \sqrt{\frac{200.96}{4\pi}}$

r = 4 cm

Hence the volume is given by:

$V = \frac{4\pi \times 4^3}{3} = 268.08 \text{cm}^3$

More can be learned about the volume of an sphere at brainly.com/question/25608353

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