Question
Download Solution PDFThe 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.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation
Let radius of cylinder = x cm
So, height of the cylinder = 2x cm
So, 2 × [22 /7] × r × h = 616
So, x2 = 49
So, 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] × 3.5 × √208.25 = 158.84 cm2 (approx.) So, Quantity I > Quantity II
Last updated on Jul 3, 2025
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