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Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The curved surface area of the cylinder is 220 cm2 and the height of the cylinder is 2 cm less than the radius of the cylinder. What is the volume of the cylinder? Quantity B: Volume of a pyramid with square base of side 15 cm and height is 10 cm.

Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The curved surface area of the cylinder is 220 cm2 and the height of the cylinder is 2 cm less than the radius of the cylinder. What is the volume of the cylinder? Quantity B: Volume of a pyramid with square base of side 15 cm and height is 10 cm. Correct Answer Quantity A > Quantity B

Quantity A:

Let height of the cylinder = a cm, radius = (a + 2) cm and Curved surface area = 220 cm2

⇒ 2πrh = 220

⇒ 2 × 22/7 × a × (a + 2) = 220

⇒ a2 + 2a – 35 = 0

⇒ (a + 7) (a – 5) = 0

⇒ a = 5 or -7 (∵ height can’t be negative)

⇒ Height = 5 cm and radius = 7 cm

⇒ Volume of cylinder = πr2h = 22/7 × 7 × 7 × 5 = 770 cm3

Quantity B:

⇒ Volume of the pyramid = 1/3 × (Area of base) × (Height) = 1/3 × (15 × 15) × 10 = 750 cm3

∴ Quantity A > Quantity B

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