What is 4/3 pi(sqrt((0.16)/(4pi(0.2))))^3 ?

The solution to 4/3 pi(sqrt((0.16)/(4pi(0.2))))^3 is 0.06728…

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simplify 4/3 pi(sqrt((0.16)/(4pi(0.2))))^3

simplify

\frac{4}{3} π (\frac{0.16}{4 π ( 0.2 )})^{3}

0.06728 \dots

Solution steps

\frac{4}{3} π (\frac{0.16}{4 π ( 0.2 )})^{3}

(\frac{0.16}{4 π 0.2})^{3} : (\frac{0.16}{4 π 0.2})^{\frac{3}{2}}

= \frac{4}{3} π (\frac{0.16}{4 π 0.2})^{\frac{3}{2}}

Multiply the numbers:

4 \cdot 0.2 = 0.8

= π \frac{4}{3} (\frac{0.16}{0.8 π})^{\frac{3}{2}}

Multiply fractions:

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

= \frac{4 π ( \frac{0.16}{0.8 π} ) ^{\frac{3}{2}}}{3}

(\frac{0.16}{0.8 π})^{\frac{3}{2}} = \frac{0.1 6 ^{\frac{3}{2}}}{2.51327 \dots ^{\frac{3}{2}}}

= \frac{4 π \frac{0.1 6 ^{\frac{3}{2}}}{2.51327 \dots ^{\frac{3}{2}}}}{3}

Multiply

4 π \frac{0.1 6 ^{\frac{3}{2}}}{2.51327 \dots ^{\frac{3}{2}}} : 0.20185 \dots

= \frac{0.20185 \dots}{3}

Divide the numbers:

\frac{0.20185 \dots}{3} = 0.06728 \dots

= 0.06728 \dots

1 \cdot 1 0^{- 12} (e^{\frac{0.7}{0.025}} - 1)

(4 π \cdot 8.85 \cdot 1 0^{- 12} \cdot 25 \cdot 1 0^{- 4}) \cdot 0.036

\frac{d}{d t} ((x) (e^{- t^{2}}))

6 e^{- 3 x} \cdot (e^{x} - 1)

e^{4} \cdot e^{5}

What is 4/3 pi(sqrt((0.16)/(4pi(0.2))))^3 ?
The solution to 4/3 pi(sqrt((0.16)/(4pi(0.2))))^3 is 0.06728…