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Fruit cocktail comes in large and small cylindrical cans. The larger can has a radius and height that are both twice as long as that of the radius and height of the smaller can. If the volume of the smaller can is 28.64 in3, what is the volume of the larger can?A.171.84 in3B.114.56 in3C.57.28 in3D.229.12 in3SUBMITarrow_backPREVIOUS

Question

Fruit cocktail comes in large and small cylindrical cans. The larger can has a radius and height that are both twice as long as that of the radius and height of the smaller can. If the volume of the smaller can is 28.64 in3, what is the volume of the larger can?A.171.84 in3B.114.56 in3C.57.28 in3D.229.12 in3SUBMITarrow_backPREVIOUS

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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 28.64 in³, and the larger can has a radius and height that are both twice as long as that of the smaller can, we can find the volume of the larger can by multiplying the volume of the smaller can by the cube of 2 (since both the radius and height are doubled).

So, the volume of the larger can is 28.64 in³ * 2³ = 28.64 in³ * 8 = 229.12 in³.

Therefore, the correct answer is D. 229.12 in³.

This problem has been solved

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