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Popular >

simplify 4/3 pi(6)^3

Solution

simplify

\frac{4}{3} π (6)^{3}

Solution

288 π

+1

Decimal Notation

904.77868 \dots

Solution steps

\frac{4}{3} π 6^{3}

Multiply fractions:

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

= \frac{4 π 6 ^{3}}{3}

Factor

6^{3} : 2^{3} \cdot 3^{3}

= \frac{2 ^{3} \cdot 3 ^{3} \cdot 4 π}{3}

Cancel the common factor:

3

= 2^{3} \cdot 3^{2} \cdot 4 π

2^{3} = 8

= 3^{2} \cdot 8 \cdot 4 π

3^{2} = 9

= 8 \cdot 9 \cdot 4 π

Multiply the numbers:

8 \cdot 9 \cdot 4 = 288

= 288 π

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Frequently Asked Questions (FAQ)

What is 4/3 pi(6)^3 ?
The solution to 4/3 pi(6)^3 is 288pi