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AssignmentMultiple Select

Surface Area

Question 1 • *22SS - 1207350 - Mathematics for College Liberal Arts - Sem. 2 - CR

The radius of a cylinder is 4 inches and the height is 5 inches. Which statements are correct? Check all that apply.The area of the two bases is 16π in2.The area of the two bases is 32π in2.The lateral area is 40π in2.The lateral area is 72π in2.The total surface area is 72π in2.

Answer
A
The area of the two bases is 16π in2.
B
The area of the two bases is 32π in2.
C
The lateral area is 40π in2.
D
The lateral area is 72π in2.
E
The total surface area is 72π in2.

Explanation

The two circular bases have a combined area of 2πr² = 2π(4²) = 32π square inches, so the statement that they have area 32π is correct. The lateral area is 2πrh = 2π(4)(5) = 40π square inches. Adding these gives a total surface area of 32π + 40π = 72π square inches.

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