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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

Respuesta :

frika

Answer:

Correct choice is A

Step-by-step explanation:

The volume of the cylinder can be calculated using formula

[tex]V=\pi r^2 h,[/tex]

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

In your case, [tex]V=86.21\ ft^3,\ \ \ r=2.8\ ft,[/tex]

then

[tex]86.21=\pi\cdot (2.8)^2\cdot h,\\ \\h=\dfrac{86.21}{7.84\pi}\approx \dfrac{86.21}{7.84\cdot 3.14}\approx 3.5\ ft.[/tex]