Question

The volume of a cylinder is 2,200π cubic inches. The diameter of the circular base is 10 inches. what is the height of the cylinder?
- 22 inches
- 88 inches
- 220 inches
- 440 inches

Answer 1

If the diameter of the cylinder's base is 10, then the radius is half that, or 5.

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\qquad \begin{cases} r=radius\\ h=height\\ ------\\ r=5\\ V=2200\pi \end{cases}\implies 2200\pi =\pi (5)^2h \\\\\\ \cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies 88=h$

Answer 2

Answer:

THE ANSWER IS 88

Step-by-step explanation:

I JUST TOOK THE TEST.