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Popular >

simplify 4/3 pi(2r)^3

Solution

simplify

\frac{4}{3} π (2 r)^{3}

Solution

\frac{32 π r ^{3}}{3}

Solution steps

\frac{4}{3} π (2 r)^{3}

(2 r)^{3} = 2^{3} r^{3}

= 2^{3} π \frac{4}{3} r^{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 π 2 ^{3} r ^{3}}{3}

4 π 2^{3} r^{3} = 32 π r^{3}

= \frac{32 π r ^{3}}{3}

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Frequently Asked Questions (FAQ)

What is 4/3 pi(2r)^3 ?
The solution to 4/3 pi(2r)^3 is (32pir^3)/3