Question

What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.

Answer 1

volume = (Pi)(r^2)(height)

57.5 cm^3 difference in volume

Explanation:

Assuming that the 3.5 cm and the 4 cm are diameters of the cans:

The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.

The radius of the soda can is one-half of the diameter and that would be 2 cm.

The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)

Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3

Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3

The soda can has more volume so:

163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.