簡約 4/3 pi(sqrt((0.16)/(4pi(0.2))))^3

解

簡約

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

0.06728 \dots

解答ステップ

\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}}

数を乗じる:

4 \cdot 0.2 = 0.8

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

分数を乗じる:

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}

乗じる

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

= \frac{0.20185 \dots}{3}

数を割る:

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

= 0.06728 \dots