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Popular >

simplify 1/3 pir^2(3r)

Solution

simplify

\frac{1}{3} π r^{2} (3 r)

Solution

π r^{3}

Solution steps

\frac{1}{3} π r^{2} (3 r)

Apply exponent rule:

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

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

= \frac{1}{3} π 3 r^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 3 r^{3}

Multiply fractions:

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

= \frac{1 π 3 r ^{3}}{3}

Cancel the common factor:

3

= 1 π r^{3}

Multiply:

1 π = π

= π r^{3}

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Frequently Asked Questions (FAQ)

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