What is 1/3 pia^2(1.18a) ?

The solution to 1/3 pia^2(1.18a) is 1.23569…a^3

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simplify 1/3 pia^2(1.18a)

simplify

\frac{1}{3} π a^{2} (1.18 a)

1.23569 \dots a^{3}

Solution steps

\frac{1}{3} π a^{2} (1.18 a)

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= \frac{1}{3} π 1.18 a^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{1}{3} π 1.18 a^{3}

Multiply fractions:

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

= 1.18 \cdot \frac{1 π a ^{3}}{3}

Multiply:

1 π = π

= 1.18 \cdot \frac{π a ^{3}}{3}

Multiply fractions:

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

= \frac{π a ^{3} \cdot 1.18}{3}

Multiply the numbers:

3.14159 \dots \cdot 1.18 = 3.70707 \dots

= \frac{3.70707 \dots a ^{3}}{3}

Divide the numbers:

\frac{3.70707 \dots}{3} = 1.23569 \dots

= 1.23569 \dots a^{3}

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