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Question
If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm.
Solution
Circumference of the wooden piece = 484 cm
2πr = 484
` 2 xx 22/7 xx "r"` = 484 cm
r = `(484 xx 7)/(2 xx 22)`
r = 77 cm
Height of the wooden piece (h) = 105 cm
Volume of the conical wooden piece = `1/3 pi"r"^2"h"` cu.units
= `1/3 xx 22/7 xx 77 xx 77 xx 105` cm3
= 22 × 11 × 77 × 35 cm3
= 652190 cm3
Volume of the wooden piece = 652190 cm3
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