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Spaghetti sauce comes in large and small cylindrical cans. The larger can has a radius and height that are both three times longer than the radius and height of the smaller can. If the volume of the smaller can is 35.28 in3, what is the volume of the larger can?A.952.56 in3B.317.52 in3C.211.68 in3D.105.84 in3

Question

Spaghetti sauce comes in large and small cylindrical cans. The larger can has a radius and height that are both three times longer than the radius and height of the smaller can. If the volume of the smaller can is 35.28 in3, what is the volume of the larger can?A.952.56 in3B.317.52 in3C.211.68 in3D.105.84 in3

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Solution

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Given that the volume of the smaller can is 35.28 in³, and the larger can has a radius and height that are both three times longer than the smaller can, we can find the volume of the larger can by cubing the scale factor (which is 3 in this case) and multiplying it by the volume of the smaller can.

So, the volume of the larger can is 3³ * 35.28 in³ = 27 * 35.28 in³ = 952.56 in³.

Therefore, the correct answer is A. 952.56 in³.

This problem has been solved

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