A cylinder has a height of 5 feet. Its volume is 1,271.7 cubic feet. What is the radius of the cylinder?

Question

asked Jun 18, 2022 132k views

1 Answer

Bezzoon · Answer 1 · 2022-06-22T16:23:03+0000

Answer:
$9\ ft$

Explanation:

Given

Height of the cylinder
$h=5\ ft$

Volume of the cylinder
$V=1271.7\ ft^3$

The volume of the cylinder is given by
$V=\pi r^2h$

Consider r be the radius of the circle

$\Rightarrow 1271.7=\pi r^2\cdot 5\\\\\Rightarrow r^2=(1271.7)/(3.142* 5)\\\\\Rightarrow r^2=80.948\\\Rightarrow r=8.99\approx 9\ ft$

Thus, the radius of the cylinder is
$9\ ft$