The height of a cone is equal to the height of a cylinder. The curved surface area of the cylinder is 616 cm2 and the height of the cylinder is two times of the its radius. The radius of the cone is…

Question

The height of a cone is equal to the height of a cylinder. The curved surface area of the cylinder is 616 cm2 and the height of the cylinder is two times of the its radius. The radius of the cone is 50% of the radius of the cylinder. Quantity I: Find the difference between total surface area and curved surface area of the cylinder. Quantity II: Find the curved surface area of the cone.

PYQPulse · Accepted Answer

Quantity I < Quantity II

PYQPulse · Answer

Explanation: Let radius of cylinder = x cm So, height of the cylinder = 2x cm 2 × 22 7 × r × h = 616 x2 = 49 x = 7 So, height of the cylinder = 14 cm Cone radius = 7 × 1 2 = 3.5 cm Quantity I: Total surface area of cylinder = 2 × 22 7 × 7 × 21 = 924 cm2 Required difference = 924 – 616 = 308 cm2 Quantity II: lateral height of cone = √196 + 12.25 = √208.25 cm Curved surface area of the cone = 22 7 × 7 × √208.25 = 317.47 cm2 (approx.) So, Quantity I < Quantity II

Answer: B. Quantity I < Quantity II

Explanation

Answer: B. Quantity I < Quantity II

Explanation