What is (2*(4pi)/3)(sqrt(6))^3 ?

The solution to (2*(4pi)/3)(sqrt(6))^3 is 16sqrt(6)pi

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simplify (2*(4pi)/3)(sqrt(6))^3

simplify

(2 \cdot \frac{4 π}{3}) (6)^{3}

166 π

Decimal Notation

123.12478 \dots

Solution steps

(2 \cdot \frac{4 π}{3}) (6)^{3}

(6)^{3} : 6^{\frac{3}{2}}

= 2 \cdot \frac{4 π}{3} \cdot 6^{\frac{3}{2}}

6^{\frac{3}{2}} = 66

= 2 \cdot 66 \frac{4 π}{3}

Multiply fractions:

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

= \frac{4 π 2 \cdot 6 6}{3}

Multiply the numbers:

4 \cdot 2 \cdot 6 = 48

= \frac{48 6 π}{3}

Divide the numbers:

\frac{48}{3} = 16

= 166 π

\frac{x + 1}{1 - x}

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π 5^{2} (7 π^{2})

What is (2*(4pi)/3)(sqrt(6))^3 ?
The solution to (2*(4pi)/3)(sqrt(6))^3 is 16sqrt(6)pi