The curved surface area of a right circular cone is and its vertical height is .
MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
The curved surface area of a right circular cone is 136πcm2 and its vertical height is 15cm.
(i) Form an equation connecting the radius r of the base with the given information and hence find r.
(ii) Determine the slant height of the cone.
(iii) Calculate the volume of the cone.
(iv) If the cone is completely filled with water that flows out at a constant rate of 88cm3/s, how many seconds will it take to empty the cone? (Give the answer correct to the nearest whole second.)