What is 3100*pi*(1.5)^2*1.5*(1/12) ?

The solution to 3100*pi*(1.5)^2*1.5*(1/12) is 2739.07609…

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simplify 3100pi(1.5)^21.5(1/12)

simplify

3100 \cdot π \cdot (1.5)^{2} \cdot 1.5 \cdot (\frac{1}{12})

2739.07609 \dots

Solution steps

3100 π (1.5)^{2} \cdot 1.5 (\frac{1}{12})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1. 5^{2} \cdot 1.5 = 1. 5^{2 + 1}

= 3100 π 1. 5^{2 + 1} \cdot \frac{1}{12}

Add the numbers:

2 + 1 = 3

= 3100 π 1. 5^{3} \cdot \frac{1}{12}

Multiply fractions:

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

= \frac{1 \cdot 3100 π 1. 5 ^{3}}{12}

Multiply the numbers:

1 \cdot 3100 = 3100

= \frac{3100 \cdot 1. 5 ^{3} π}{12}

Cancel the common factor:

4

= \frac{775 \cdot 1. 5 ^{3} π}{3}

775 \cdot 1. 5^{3} π = 2615.625 π

= \frac{2615.625 π}{3}

Multiply the numbers:

2615.625 \cdot 3.14159 \dots = 8217.22828 \dots

= \frac{8217.22828 \dots}{3}

Divide the numbers:

\frac{8217.22828 \dots}{3} = 2739.07609 \dots

= 2739.07609 \dots

yyy \frac{d}{d x} (x^{c o s (x)})

8000 \cdot e^{- 0.2 (2)}

1 0^{- l o g_{10} (3)}

2 e^{- 2 x} \cdot e^{x}

What is 3100*pi*(1.5)^2*1.5*(1/12) ?
The solution to 3100*pi*(1.5)^2*1.5*(1/12) is 2739.07609…