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Popular >

simplify 4/3pi6^3

Solution

simplify

\frac{4}{3} \cdot π \cdot 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

Popular Examples

simplify p/(p^2+2p-8)-2/(p^2+p-12)simplify

\frac{p}{p ^{2} + 2 p - 8} - \frac{2}{p ^{2} + p - 12}

3 \frac{1}{9}

simplify 3/4+2/5+1/6 simplify

\frac{3}{4} + \frac{2}{5} + \frac{1}{6}

simplify f^{-1}x simplify

f^{- 1} x

domain of f(x)=(4x^3)/(12x^2+108x)domain

f (x) = \frac{4 x ^{3}}{12 x ^{2} + 108 x}

Frequently Asked Questions (FAQ)

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