A man goes to a shop and buys a cylindrical jar with a capacity of 83259 e x t c m 3 83259 ext{ cm}^3 83259 e x t c m 3 . He also purchases a conical ...

Question

A man goes to a shop and buys a cylindrical jar with a capacity of 83259extcm383259 ext{ cm}^3. He also purchases a conical vessel whose capacity is 127\frac{1}{27} of the cylindrical jar. The height of the conical vessel is 14 cm14 \text{ cm}, which is four times the height of the cylindrical jar. What is the ratio of the radius of the cylindrical jar to the radius of the conical vessel?

Options

A.

3:13 : 1

B.

4:14 : 1

C.

5:15 : 1

D.

6:16 : 1

cylinderconevolumeratiogeometrymensuration

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