The diameter of the base of a cylinder is 28 cm 28 \text{ cm} 28 cm and its curved surface area is 704 cm 2 704 \text{ cm}^2 704 cm 2 . A cone has a h...

Question

The diameter of the base of a cylinder is 28 cm28 \text{ cm} and its curved surface area is 704 cm2704 \text{ cm}^2. A cone has a height that is 25%25% greater than the height of the cylinder, and the radius of the cone is equal to the radius of the cylinder. What is the volume of the cone?

Options

A.

61609 cm3\frac{6160}{9} \text{ cm}^3

B.

62603 cm3\frac{6260}{3} \text{ cm}^3

C.

61513 cm3\frac{6151}{3} \text{ cm}^3

D.

61603 cm3\frac{6160}{3} \text{ cm}^3

E.

616011 cm3\frac{6160}{11} \text{ cm}^3

cylinderconevolumecurved surface areamensuration

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