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insens350 [35]
3 years ago
15

Which of the following is the radius of a sphere that has a volume of  32/3 π in³?

Mathematics
2 answers:
guajiro [1.7K]3 years ago
8 0

Answer:

b.2 in

Step-by-step explanation:

Formula Volume of sphere = 4/3πr^3

then r= cubic root (3V/4π)

= cubic root (3 x 32/3π/4π) (simplify 3andπ)

= cubic root of (32/4)

= cubic root of 8 = 2

kogti [31]3 years ago
7 0

Answer:

b

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3} πr³ ( r is the radius )

Given V = \frac{32}{3} π , then

\frac{4}{3} πr³ = \frac{32}{3} π ( multiply both sides by 3 to clear the fractions )

4πr³ = 32π ( divide both sides by 4π )

r³ = 8 ( take cube root of both sides )

r = \sqrt[3]{8} = 2

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