Question

evaluate the expression for the given value of the variable. use 3.14 for \\(\pi\\). round the answer to the nearest hundredth when necessary.

\\\frac{1}{3} \pi r^2 \text{ for } r = 8\\

\\\frac{1}{3} \pi r^2 = \boxed{\phantom{x}}\\

Explanation:

Substitute the given values into the expression

$$ \frac{1}{3}\pi r^2 = \frac{1}{3} \cdot 3.14 \cdot 8^2 $$

Simplify the exponent and multiply

$$ \frac{1}{3} \cdot 3.14 \cdot 64 = \frac{200.96}{3} $$

Divide and round to the nearest hundredth

$$ \frac{200.96}{3} \approx 66.98667 \approx 66.99 $$

Answer:

Evaluate the expression for the given value of the variable. Use 3.14 for \(\pi\). Round the answer to the nearest hundredth when necessary.

\(\frac{1}{3}\pi r^2 =\) <blank>66.99</blank>