A cylinder has a radius of 2 cm and a height of 5 cm. The surface area of the cylinder is _____ cm².

20

28

40

48

Show work please (:

Question

A cylinder has a radius of 2 cm and a height of 5 cm. The surface area of the cylinder is _____ cm².

 20

 28

 40

 48


Show work please (:

mathstudent55 · Answer

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mathstudent55 · Answer

The lateral area of a cylinder is the area of a rectangle whose dimensions are the height of the cylinder and the circumference of the base.
The area of the bases is the sum of the areas of two circles with the radius of the base of the cylinder.
A = 2(pi)rh + 2(pi)r^2
A = 2(3.14)(2)(5) + 2(3.14)(2^2)