What is pi*(1.08m)^2*3.25m ?

The solution to pi*(1.08m)^2*3.25m is 11.90914…m^3

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simplify pi(1.08m)^23.25m

simplify

π \cdot (1.08 m)^{2} \cdot 3.25 m

11.90914 \dots m^{3}

Solution steps

π (1.08 m)^{2} \cdot 3.25 m

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(1.08 m)^{2} = 1.0 8^{2} m^{2}

= 1.0 8^{2} \cdot 3.25 π m^{2} m

Apply exponent rule:

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

m^{2} m = m^{2 + 1}

= π 1.0 8^{2} \cdot 3.25 m^{2 + 1}

Add the numbers:

2 + 1 = 3

= π 1.0 8^{2} \cdot 3.25 m^{3}

1.0 8^{2} = 1.1664

= 1.1664 \cdot 3.25 π m^{3}

Multiply the numbers:

1.1664 \cdot 3.25 = 3.7908

= 3.7908 π m^{3}

Multiply the numbers:

3.7908 \cdot 3.14159 \dots = 11.90914 \dots

= 11.90914 \dots m^{3}

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