Question

Juanita believes that the two cylinders shown in the image below have the same volume. Is Juanita correct?

Answer 1

[AI-generated answer — Bot GPT 3.5]

It appears that the two cylinders have different heights and radii. In order to determine if they have the same volume, we need to calculate the volume of each cylinder using the formula V = πr^2h, where r is the radius and h is the height.

For the first cylinder with r = 3 cm and h = 5 cm:

V1 = π(3)^2(5)
V1 = π(9)(5)
V1 = 45π

For the second cylinder with r = 4 cm and h = 4 cm:

V2 = π(4)^2(4)
V2 = π(16)(4)
V2 = 64π

Since the volumes of the two cylinders are different (45π and 64π), Juanita is incorrect in believing that they have the same volume.