Acan 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