a can of tomato paste is 10 cm high and has a diameter of 8 cm. how much tomato paste will the can hold?

502.4 cm³

Step-by-step explanation:

The amount that a three-dimensional shape can hold is the volume of the solid. A can is in the shape of a cylinder.

The formula for the volume of a cylinder is

V = πr²h

Since the diameter is 8, this means the radius is 8/2 = 4.

Using 3.14 for π, we have

V = 3.14 (4²) (10) = 3.14 (16) (10) = 50.24 (10) = 502.4 cm³

The volume equation for a cylinder is V = (pi) (di^2) (h) / 4, so in this problem it is V=pi (8^2) (10) / 4 - -> V=pi (64) (10) / 4 - -> V=pi (640) / 4 - -> V=160pi or 502.65