What is (pi(0.1)^2)/4*3*10^{-3} ?

The solution to (pi(0.1)^2)/4*3*10^{-3} is 0.00002…

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simplify (pi(0.1)^2)/4310^{-3}

simplify

\frac{π ( 0.1 ) ^{2}}{4} \cdot 3 \cdot 1 0^{- 3}

0.00002 \dots

Solution steps

\frac{π ( 0.1 ) ^{2}}{4} \cdot 3 \cdot 1 0^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 3 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{0. 1 ^{2} π}{4}

Multiply fractions:

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

= \frac{π 0. 1 ^{2} \cdot 1 \cdot 3}{4 \cdot 1 0 ^{3}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 \cdot 0. 1 ^{2} π}{1 0 ^{3} \cdot 4}

3 π 0. 1^{2} = 0.03 π

= \frac{0.03 π}{1 0 ^{3} \cdot 4}

4 \cdot 1 0^{3} = 4000

= \frac{0.03 π}{4000}

Multiply the numbers:

0.03 \cdot 3.14159 \dots = 0.09424 \dots

= \frac{0.09424 \dots}{4000}

Divide the numbers:

\frac{0.09424 \dots}{4000} = 0.00002 \dots

= 0.00002 \dots

470 \cdot 60 \cdot (4.7 \cdot 1 0^{- 4})

e^{- \frac{1}{t}}

What is (pi(0.1)^2)/4*3*10^{-3} ?
The solution to (pi(0.1)^2)/4*3*10^{-3} is 0.00002…