Joseph believes that the two cylinders shown in the image below have a different volume. Is Joseph correct? Explain. 11.5 m 5 m 11.5 m 10 m 12 m

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

Joseph is incorrect. The two cylinders shown in the image have the same volume. This is because the volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

In this case, both cylinders have the same radius of 5m and heights of 11.5m and 10m respectively. Plugging these values into the formula, we get:

V1 = π(5^2)(11.5) = 287.5π
V2 = π(5^2)(10) = 250π

Since 287.5Ï€ is equal to 250Ï€, the two cylinders have the same volume.

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