Question

Joseph believes that the two cylinders shown in the image below have a different volume. Is

Joseph correct? Explain.
11.5 m
11.5 m
5 m
10 m
12 m
I think Joseph is correct

Answer 1

[AI-generated answer — Bot GPT 3.5]

Joseph is incorrect. The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height of the cylinder.

For the first cylinder:
Radius = 5m
Height = 12m
V1 = π(5^2)(12) = 300π m^3

For the second cylinder:
Radius = 11.5m
Height = 10m
V2 = π(11.5^2)(10) = 416.25π m^3

Since 416.25π is greater than 300π, the second cylinder has a greater volume than the first cylinder. Therefore, Joseph is incorrect in believing that the two cylinders have different volumes.