Question

calculating volume of a cylinder
amuls work
$v = bh$
$v=(5)(\pi)(2)^{2}$
$v = 5(\pi)(4)$
$v = 20\pi ft^{3}$
amul is trying to find the volume of the cylinder. what was amuls error?
amul should not have multiplied by pi.
amul should have squared the radius, not the height.
amul should have squared pi.
amul did not make an error.

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V = \pi r^{2}h\), where \(r\) is the radius and \(h\) is the height. In the formula \(V=Bh\), \(B\) (the area of the base) is \(\pi r^{2}\).

Step2: Analyze Amul's work

Amul wrote \(V=(5)(\pi)(2)^{2}\). Here, the radius \(r = 5\) ft and the height \(h=2\) ft. But in the formula \(V=\pi r^{2}h\), the radius should be squared. Amul squared the height instead of the radius.

Answer:

Amul should have squared the radius, not the height.