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The volume of a sphere is 81π cubic centimeters. Which equation can be used to solve for the radius of the sphere?

Sagot :

Answer:

r = [tex]\sqrt[3]{60.75}[/tex]

Step-by-step explanation:

The volume of a sphere is given by the formula:

V = (4/3)πr³

We have:

81π = (4/3)πr³

Divided π both sides, we get:

81 = (4/3)r³

Divided by 4/3 both sides, we get:

60.75 = r³

[tex]\sqrt[3]{60.75}[/tex] = [tex]\sqrt[3]{r^{3} }[/tex]

r = [tex]\sqrt[3]{60.75}[/tex]

So, the answer radius of the sphere is [tex]\sqrt[3]{60.75}[/tex].