A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth. Use 3.14 for π.

Respuesta :

r=4 in
h=15 in

The paint can is a cylinder. The volume of the cylinder is: V=S×h (S stands for the area of the base, h is for height).
The area of our cylinder's base is a circle, so:
S=πr²=4²×π=16π≈50.24 (in²)
Thus, the volume is:
V≈50.24×15≈753.6 (in³)

The area of our cylinder's base is a circle. The volume of the paint is V=753.6 inches square.

We have given that,

r=4 inches

h=15 inches

The paint can is a cylinder.

What is the volume of a cylinder?

The volume of the cylinder is

V=S×h

(S stands for the area of the base, h is for height).

The area of our cylinder's base is a circle,

[tex]S=\pi r^2=4^2\times\pi =16\pi = 50.24 (in^2)[/tex]

Thus, the volume is

[tex]V=50.24 \times 15=753.6 (in^2)[/tex]

Therefore, The volume of the paint is V=753.6 in^2

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