Question

A cone and a cylinder have equal radii, r , and equal altitudes, h . if the slant height of the cone is l , then the ratio of the lateral area of the cone to the lateral area of the cylinder is a. l:2h b. l:2r c. l:h d. 2l:h

Answer 1

The ratio of the lateral surface area of a cone to the lateral surface area of a cylinder with equal radii and altitudes is l:2h.

Step-by-step explanation:

In the given question, we are talking about a cylinder and a cone having equal radii r and altitudes h. The lateral surface area of a cone is given by the formula πrl where r is the radius and l is the slant height. The lateral surface area of a cylinder is given by the formula 2πrh where r is the radius and h is the height.

In this case, as both the radius and the height are the same for the cone and the cylinder, the ratio of the lateral surface area of the cone to the lateral surface area of the cylinder would be in the ratio of l:2h. Therefore, the correct answer is a. l:2h.

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