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Popular >

simplify 4/3pi75^3

Solution

simplify

\frac{4}{3} \cdot π \cdot 7 5^{3}

Solution

562500 π

+1

Decimal Notation

1767145.86764 \dots

Solution steps

\frac{4}{3} π 7 5^{3}

Multiply fractions:

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

= \frac{4 π 7 5 ^{3}}{3}

Factor

7 5^{3} : 5^{6} \cdot 3^{3}

= \frac{5 ^{6} \cdot 3 ^{3} \cdot 4 π}{3}

Cancel the common factor:

3

= 5^{6} \cdot 3^{2} \cdot 4 π

5^{6} = 15625

= 3^{2} \cdot 15625 \cdot 4 π

3^{2} = 9

= 15625 \cdot 9 \cdot 4 π

Multiply the numbers:

15625 \cdot 9 \cdot 4 = 562500

= 562500 π

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3 ln (2) + ln (5) - ln (4)

4 x^{2} = 7 x + 2

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- \frac{3 π}{2} + π

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Frequently Asked Questions (FAQ)

What is 4/3*pi*75^3 ?
The solution to 4/3*pi*75^3 is 562500pi