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Popular >

simplify 1/3 pir^2*2r

Solution

simplify

\frac{1}{3} π r^{2} \cdot 2 r

Solution

\frac{2 π r ^{3}}{3}

Solution steps

\frac{1}{3} π r^{2} \cdot 2 r

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

r^{2} r = r^{2 + 1}

= \frac{1}{3} π 2 r^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 2 r^{3}

Multiply fractions:

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

= \frac{1 π 2 r ^{3}}{3}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 π r ^{3}}{3}

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Frequently Asked Questions (FAQ)

What is 1/3 pir^2*2r ?
The solution to 1/3 pir^2*2r is (2pir^3)/3