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Popular >

simplify 1/3 pi(3h)^2h

Solution

simplify

\frac{1}{3} π (3 h)^{2} h

Solution

3 π h^{3}

Solution steps

\frac{1}{3} π (3 h)^{2} h

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

= 3^{2} π \frac{1}{3} h^{2} h

Apply exponent rule:

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

h^{2} h = h^{2 + 1}

= \frac{1}{3} π 3^{2} h^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 3^{2} h^{3}

Multiply fractions:

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

= \frac{1 π 3 ^{2} h ^{3}}{3}

Multiply:

1 π = π

= \frac{3 ^{2} π h ^{3}}{3}

Cancel the common factor:

3

= 3 π h^{3}

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Frequently Asked Questions (FAQ)

What is 1/3 pi(3h)^2h ?
The solution to 1/3 pi(3h)^2h is 3pih^3