Question

1. annie was asked to find the volume of the following right cylinder and leave answer in terms of π. below is how annie set up and solved the problem step 1: v = π(4)^2(3) cubic meters step 2: v = 8(3)π cubic meters step 3: v = 24π cubic meters did annie set up the equation correctly? select if annie made an error, which was the first incorrect step? select if there was an error, rework it correctly, what is the correct solution? select

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height. Given $r = 4$ and $h=3$, the correct set - up is $V=\pi(4)^{2}(3)$. So Annie set up the equation correctly.

Step2: Check Annie's calculations

In Step 2, Annie made an error. $(4)^{2}=16$, not 8. The correct calculation from Step 1 should be $V = 16\times3\pi$.

Step3: Calculate correct volume

$V=48\pi$ cubic meters.

Answer:

Did Annie set up the equation correctly? Yes
If Annie made an error, which was the first incorrect step? Step 2
If there was an error, rework it correctly, what is the correct solution? $V = 48\pi$ cubic meters