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Write the surface area of the sphere as a function of the volume. Use this function to determine the surface area of a sphere with a volume of 125 cm3.

Solution

Solution

s u r f a ce a re a : 25 \cdot 3^{\frac{2}{3}} \cdot 4^{\frac{1}{3}} π^{\frac{1}{3}} c m^{2}

Decimal Notation

120.89939 \dots

Solution steps

Given:

v o l u m e : 125 c m^{3}

Sphere radius given

Sphere surface area given

s u r f a ce a re a : 25 \cdot 3^{\frac{2}{3}} \cdot 4^{\frac{1}{3}} π^{\frac{1}{3}} c m^{2}

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