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The lateral surface area of cone A is equal to the lateral surface area of cylinder B.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Question

The lateral surface area of cone A is equal to the lateral surface area of cylinder B.A.TrueB.FalseSUBMITarrow_backPREVIOUS

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Solution

The statement can be either true or false. It depends on the dimensions of both the cone and the cylinder.

The lateral surface area of a cone is calculated by the formula πrl (where r is the radius and l is the slant height), and the lateral surface area of a cylinder is calculated by the formula 2πrh (where r is the radius and h is the height).

If the dimensions of the cone and the cylinder are such that πrl (cone) equals 2πrh (cylinder), then the statement is true. If not, then the statement is false.

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