Multiple choice

A cone of height $7$ cm and base radius $3$ cm is carved from a rectangular block of wood $10 cm \times 5 cm \times 2 cm$. Find the % of wastage.

  1. $70\%$
  2. $46\%$
  3. $34\%$
  4. $43\%$
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C Correct answer
AI explanation

The total volume of the rectangular block is 10 cm times 5 cm times 2 cm, which equals 100 cubic centimeters. The volume of the carved cone is one third times pi times 3 squared times 7, which equals 66 cubic centimeters. The percentage of wastage is the remaining volume divided by the total volume multiplied by 100, calculated as 100 minus 66 divided by 100 times 100, which gives 34 percent.

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