Question

Three students calculated the volume of a cylinder. Each used a different strategy.

Jada said, "I used the formula V = Bh."
Andre said, "I found the area of a circular cross section and multiplied it by the cylinder's height."
Han said, "I used the formula V = πr²h."
For each student, decide if you agree with their strategy. Explain your reasoning.

Answer 1

All students are correct.

Explanation:

The volume of a cylinder is the area of the base multiplied by the height.

First student:

V = Bh,

where B = area of the base

and h = height

This is a correct calculation of the volume.

Second student:

area of a circular cross section multiplied by the cylinder's height

Since the base has the same area as a circular cross section, this is correct.

Third student:

V = πr²h

πr² is the area of the base

This is also correct.

All students are correct.