A few days ago
steelerxfan

Find the radius of the sphere described. help?

Find the radius of the sphere descreibed. 3.14 is supposed to be the symbol for pie. Volume = 25 (3.14). Surface Area = 144 (3.14).

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A few days ago
Anonymous

Favorite Answer

The volume v of a sphere of radius r is

v = (4/3)pi r^3.

Therefore:

r^3 = v / (4/3)pi

= 3v / 4pi

r = (3v / 4pi)^(1/3)

If v = 25pi, then:

r = (75 / 4)^(1/3)

r = 2.657.

The surface area s of a sphere of radius r is:

s = 4 pi r^2.

Therefore:

r^2 = s / 4pi

r = sqrt(s / 4pi)

r = sqrt(144 pi / 4pi)

r = sqrt(144 / 4)

r = 12 / 2

r = 6.

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