9
QuizMultiple Choice

Surface Area

Question 9 • Mathematical Models with Applications - MA4072 CR

Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches.

Answer
A
2.45 inches
B
4.55 inches
C
8.25 inches
D
3.65 inches

Explanation

For a closed cylinder, surface area is 2πr² + 2πrh. Substituting the surface area 300 and radius 5 gives 300 = 50π + 10πh, so h = (300 − 50π)/(10π) ≈ 4.55 inches. The correct choice is 4.55 inches.

AI-written and checked against the verified answer.

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