Question

When finding the volume of a soup can, Tommy needs to calculate the area of the base. Describe what type of base Tommy’s soup can has and what formula he should use to find its area.

Answer 1

Answer the soup can has a circular base. The radius measure is needed. If the diameter is given, find the radius, which is half the diameter, square the radius and multiply the answer by pi for the base area.

Answer 2

The Tommy soup can has a cylindrical shape, So the shape of base is circular the formula for base area is
`A_(Base) =\pi r^(2)` and volume is
`V= Bh`.

Explanation:

The given is,

Tommy soup can

Step:1

Tommy's soup can looks like a cylindrical shape,

For the cylindrical shape it has a circular base

Formula for volume of cylindrical soup can is,

Volume of soup can,
`V= Bh`

Where, B - Base area of soup can

h - Height of Soup can

Step:2

Formula for base area of soup can,

Base area,
`A_(Base) =\pi r^(2)`

Where, r - Radius of cylindrical soup can

Suppose Diameter is given,

Formula for diameter to radius conversion,

r =
`(d)/(2)`

Where, d - Diameter of cylindrical soup can

Result:

The Tommy soup can has a cylindrical shape, So the shape of base is circular the formula for base area is
`A_(Base) =\pi r^(2)` and volume is
`V= Bh`.