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Question 2 • Mathematical Models with Applications - MA4072 CR

Cylinder A has radius 1 m and height 4 m. Cylinder B has radius 2 m and height 4 m. Find the ratio of the volume of cylinder A to the volume of cylinder B.

Answer
A
5 : 6
B
1 : 4
C
1 : 2
D
1 : 1

Explanation

The volume of a cylinder is πr²h. Cylinder A has volume π(1)²(4) = 4π m³, while cylinder B has volume π(2)²(4) = 16π m³. Their ratio is 4π : 16π, which simplifies to 1 : 4, so the correct choice is 1 : 4.

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