Question

If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm.

Answer 1

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