10. (a) A right-angled triangle ABC, where 2C = 90°, is rotated about the side AC. If BC =5 cm and AC = 12 cm, find the volume and the curved surface area of the right cone generated by the rotating triangle (b) A triangle POR
Answers
Answered by
4
Step-by-step explanation:
If we assume a right triangle, right angled at B. AB = 5cm , BC = 12 cm & hypotenuse AC = 13 cm.
And if we revolve the above triangle, about its side BC with a very high speed. Then, we can watch, there forms a right circular cone in the space, the radius ‘r' of which = 5 cm , the height ‘h' = 12 cm . And its slant height ‘ l' will be equal to the hypotenuse 13 cm.
And, Volume of a cone = 1/3 pi r² h
= V = 1/3 * 22/7 * 25 * 12
=> V = ( 22 * 25 * 4) /7
=> V = 2200 / 7
=> V = 314. 285 cm^3
=> V= 314 . 29 cm^3 ( approx)
Similar questions