A thin metal sheet is to be shaped into a funnel that is an open right circular cone
MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
A thin metal sheet is to be shaped into a funnel that is an open right circular cone. The circular opening has radius 5cm and the slant height of the cone is 13cm.
(i) Find the vertical height of the funnel.
(ii) Calculate the volume of liquid the funnel can hold.
(iii) Determine the curved surface area of the metal sheet required to make the funnel, neglecting any waste.
(iv) If the metal sheet costs Rs 80 per 100cm2, find the cost of making one funnel. (Leave π in your working where appropriate.)