Question

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

Answer 1

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.`