What is 8960*4/3*pi*(3*30*10^{-3})^3 ?

The solution to 8960*4/3*pi*(3*30*10^{-3})^3 is (27216pi)/(3125)

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simplify 89604/3pi(330*10^{-3})^3

simplify

8960 \cdot \frac{4}{3} \cdot π \cdot (3 \cdot 30 \cdot 1 0^{- 3})^{3}

\frac{27216 π}{3125}

Decimal Notation

27.36050 \dots

Solution steps

8960 \cdot \frac{4}{3} π (3 \cdot 30 \cdot 1 0^{- 3})^{3}

(3 \cdot 30 \cdot 1 0^{- 3})^{3} = \frac{9 ^{3}}{10 0 ^{3}}

= 8960 π \frac{4}{3} \cdot \frac{9 ^{3}}{10 0 ^{3}}

Multiply fractions:

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

= \frac{4 \cdot 9 ^{3} \cdot 8960 π}{3 \cdot 10 0 ^{3}}

Multiply the numbers:

4 \cdot 8960 = 35840

= \frac{9 ^{3} \cdot 35840 π}{10 0 ^{3} \cdot 3}

Factor

9^{3} : 3^{6}

Factor

35840 : 2^{10} \cdot 5 \cdot 7

Factor

10 0^{3} : 2^{6} \cdot 5^{6}

= \frac{2 ^{10} \cdot 3 ^{6} \cdot 5 \cdot 7 π}{2 ^{6} \cdot 5 ^{6} \cdot 3}

Cancel

\frac{2 ^{10} \cdot 5 \cdot 7 \cdot 3 ^{6} π}{3 \cdot 2 ^{6} \cdot 5 ^{6}} : \frac{3 ^{5} \cdot 2 ^{4} \cdot 7 π}{5 ^{5}}

= \frac{3 ^{5} \cdot 2 ^{4} \cdot 7 π}{5 ^{5}}

3^{5} \cdot 2^{4} \cdot 7 π = 27216 π

= \frac{27216 π}{5 ^{5}}

5^{5} = 3125

= \frac{27216 π}{3125}

16 < ∣ x - 6 ∣

3 (x + 1)^{2} + x = - 7

\frac{1}{2} (4 x - 4) - \frac{2}{3} (6 x + 9) \leq 7

∣ 2 x - 2 ∣ = 8

3 x^{2} + 17 x + 14 = 0

What is 8960*4/3*pi*(3*30*10^{-3})^3 ?
The solution to 8960*4/3*pi*(3*30*10^{-3})^3 is (27216pi)/(3125)