A cone of height 7 text{ cm} and base radius | vedclass

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Question

(A) $1$. Calculate the volume of the rectangular block: $V_{	ext{block}} = 	ext{length} 	imes 	ext{width} 	imes 	ext{height} = 10 	ext{ cm} 	i

Vedclass · Accepted Answer

$34$

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(A) $1$. Calculate the volume of the rectangular block: $V_{	ext{block}} = 	ext{length} 	imes 	ext{width} 	imes 	ext{height} = 10 	ext{ cm} 	imes 5 	ext{ cm} 	imes 2 	ext{ cm} = 100 	ext{ cm}^3$.$2$. Calculate the volume of the cone: $V_{	ext{cone}} = \frac{1}{3} \pi r^2 h = \frac{1}{3} 	imes \frac{22}{7} 	imes (3 	ext{ cm})^2 	imes 7 	ext{ cm} = \frac{1}{3} 	imes \frac{22}{7} 	imes 9 	imes 7 = 66 	ext{ cm}^3$.$3$. Calculate the volume of wood wasted: $V_{	ext{wasted}} = V_{	ext{block}} - V_{	ext{cone}} = 100 	ext{ cm}^3 - 66 	ext{ cm}^3 = 34 	ext{ cm}^3$.$4$. Calculate the percentage of wood wasted: $	ext{Percentage} = \left( \frac{V_{	ext{wasted}}}{V_{	ext{block}}} ight) 	imes 100 = \left( \frac{34}{100} ight) 	imes 100 = 34 \%$.

$A$ cone of height $7 \text{ cm}$ and base radius $3 \text{ cm}$ is carved from a rectangular block of wood $10 \text{ cm} \times 5 \text{ cm} \times 2 \text{ cm}$. The percentage of wood wasted is:

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