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suppose a sphere has a volume of 3,000 cm3. Find the surface area

 Aug 10, 2016

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 #1
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\(\dfrac{4\pi r^3}{3}=3000\\ 4\pi r^3 = 9000\\ \pi r^3 = 2250 \\r=\sqrt[3]{\dfrac{2250}{\pi}}\)

r is the radius of the sphere.

\(\text{Surface area}\\ =4 \pi r^2\\ = 4(\dfrac{2250}{\pi})^{\frac{2}{3}}\\ \approx 320.195399866\;\;\text{cm}^2\)

 Aug 10, 2016
 #1
avatar+9665 
+10
Best Answer

\(\dfrac{4\pi r^3}{3}=3000\\ 4\pi r^3 = 9000\\ \pi r^3 = 2250 \\r=\sqrt[3]{\dfrac{2250}{\pi}}\)

r is the radius of the sphere.

\(\text{Surface area}\\ =4 \pi r^2\\ = 4(\dfrac{2250}{\pi})^{\frac{2}{3}}\\ \approx 320.195399866\;\;\text{cm}^2\)

MaxWong Aug 10, 2016

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