A cylindrical garbage can has a radius of 2.8ft and holds 86.21 cubic feet of trash. whats the height? A) 3.5ft B) 9.8ft C) 5.2ft D) 1.9ft

Question

asked Mar 21, 2020 64.8k views

1 Answer

Slonopotam · Answer 1 · 2020-03-25T22:22:14+0000

Answer:

Correct choice is A

Explanation:

The volume of the cylinder can be calculated using formula

$V=\pi r^2 h,$

where r is the base circle radius and h is the height of the cylinder.

In your case,
$V=86.21\ ft^3,\ \ \ r=2.8\ ft,$

then

$86.21=\pi\cdot (2.8)^2\cdot h,\\ \\h=(86.21)/(7.84\pi)\approx (86.21)/(7.84\cdot 3.14)\approx 3.5\ ft.$