The height of the waste can in inches round to the nearest tenth is 14 inches.
A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylindrical waste can have a volume of 2474 cubic inches and the area of its base is about 177 square inches.
The base area of the cylinder will be
[tex]\rm Base \ area = \pi r^2 = 177[/tex]
Then the volume of the cylinder will be
[tex]\rm Volume = \pi r^2 h[/tex]
Then the height of the cylinder will be
[tex]h = \dfrac{2474}{177} \\\\h =13.977 \approx 14 \ inches[/tex]
More about the cylinder link is given below.
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