When calculating the surface area of a cylinder, how do you determine the area of the shape that represents the curved surface of the cylinder?(1 point)

Question

Responses

by calculating the area of two circles
by calculating the area of two circles

by computing the area of a rectangle with a height equivalent to the diameter of the cylinder's base
by computing the area of a rectangle with a height equivalent to the diameter of the cylinder's base

by multiplying the area of a circular base by the height of the cylinder
by multiplying the area of a circular base by the height of the cylinder

by finding the area of a rectangle with a base length equivalent to the circumference of the cylinder's base

Answer 1

To determine the area of the shape that represents the curved surface of the cylinder, you find the area of a rectangle with a base length equivalent to the circumference of the cylinder's base. Therefore, the correct response is:

by finding the area of a rectangle with a base length equivalent to the circumference of the cylinder's base.

This rectangle's height is equal to the height of the cylinder, and the area of the curved surface can be computed using the formula: \( \text{Curved Surface Area} = 2\pi r h \), where \( r \) is the radius of the base and \( h \) is the height of the cylinder.