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Cylinder A has a base of 3 and height of 3 cylinder be has the base of 2 and the height of 4. What is the ratio of the volume of cylinder A to the volume of cylinder B?

User Sam Sirry
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1 Answer

2 votes

Answer:

1.6875

Explanation:

For cylinder A, the base = diameter = 3, the height of the base is 3.

The radius of cylinder A (r) = diameter / 2 = 3/2 = 1.5

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1.5² × 3 = 6.75π

For cylinder B, the base = diameter = 2, the height of the base is 4.

The radius of cylinder B (r) = diameter / 2 = 2/2 = 1

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1² × 4 = 4π

The ratio of the volume of cylinder A to the volume of cylinder B = volume of cylinder A / volume of cylinder B = 6.75π / 4π = 1.6875

User James Selvakumar
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