The volume of a sphere with surface area 625π m ²?
In the back of the math book it says the answer is 15,625/6 m cubed ? how ? Please help!
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In the back of the math book it says the answer is 15,625/6 m cubed ? how ? Please help!
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Surface area = 4 * pi * r^2
Volume = (4/3) * pi * r^3
4 * pi * r^2 = 625 * pi
4 * r^2 = 625
(2r)^2 = 25^2
2r = 25
r = 25/2
V = (4/3) * pi * (25/2)^3
V = (4/3) * (15625 / 8) * pi
V = (1/3) * (15625 / 2) * pi
V = (15625 / 6) * pi
A = 4 * pi * r^2
625 * pi = 4 * pi * r^2
4*r^2 = 625
r^2 = 625/4
r = sqrt(625/4)
r = 25/2
V = (4/3) * pi * r^3
V = (4/3) * pi * (25/2)^3
V = (4/3) * pi * 15625/8
V = (15625/6)*pi