Question

The height and radius of a cylinder are in the ratio 7:5 and its volume is 550cm3 find the diameter of the base

Answer 1

Hi friend ✋✋✋✋
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Your answer
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Ratio of the height and radius of a cylinder = 7:5

Volume of the cylinder = 550 cm³

Now,
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Let the height and radius be 7x and 5x respectively.

Then,
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π × (5x)² × (7x) = 550

=> x³ = (550 × 7)/(22 × 25 × 7)

=> x³ = 1

=> x = ³√1

=> x = 1

Then,
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Radius = 5x = (5 × 1) = 5 cm

So, Diameter = 2 × radius = (2 × 5) cm = 10 cm

HOPE IT HELPS