Question
A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm.
The percentage of the wood wasted is :
Answer: Option D
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Volume of sphere = `( 4/3 pi xx 9 xx 9 xx 9) cm^3`
Volume of cone = `(1/3 pi xx 9 xx 9 xx 9) cm^3`
Volume of wood wasted = `[( 4/3 pi xx 9 xx 9 xx 9) - (1/3 pi xx 9 xx 9 xx 9)] cm^3`
= `( pi xx 9 xx 9 xx 9) cm^2`
`:.` Required percentage = ` (( pi xx 9 xx 9 xx 9)/(4/3 pi xx 9 xx 9 xx 9) xx 100)% `
= `(3/4 xx 100)`% = 75%
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