Question

(a) find the exact volume of the pipe. write your answer in terms of π. exact volume: 576π ft³ (b) using a calculator, approximate the volume of the pipe. to do the approximation, use your answer to part (a) and the π button on the calculator. round your answer to the nearest hundredth. approximate volume: part 2 of 2 progress: 12 correct answer.

Explanation:

Step1: Recall the exact volume

The exact volume of the pipe is given as $576\pi\ ft^{3}$.

Step2: Use calculator to approximate

We know that $\pi\approx3.14159$. Multiply the exact - volume by the approximation of $\pi$. So, $V = 576\times3.14159$.
$V=576\times3.14159 = 1809.55784\ ft^{3}$.

Step3: Round to the nearest hundredth

Rounding $1809.55784$ to the nearest hundredth gives $1809.56\ ft^{3}$.

Answer:

$1809.56\ ft^{3}$