Question

Find the percentage of wastage material in converting a cylinder of base diameter 10 cm and height 20 cm into a cone of equal base, but double the height of the cylinder.

• A. 25%
• B. 20%
• C. 33.3%
• D. 35%

Answer 1

Answer:

C. 33.3%

• Volume Ratio: The cone's volume is (1/3)πr²(2h), and the cylinder's is πr²h. The ratio of cone volume to cylinder volume is (2/3).

• Wastage: The wastage is the difference: 1 - (2/3) = 1/3.

• Percentage: (1/3) * 100% = 33.33%.