MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
A cylindrical tank, open at both ends, has an external diameter of 2 m and a height of 3 m. Two identical hemispherical domes, each of the same external diameter as the cylinder, are welded to the open ends to form a closed container. The cylinder and the hemispherical domes are made of sheet metal of uniform thickness 5 mm.
(i) Calculate the volume of metal used in the entire container. Give your answer in cubic metres, correct to three significant figures.
(ii) The outside of the container (including the domes) is to be painted at the rate of ₹75 per square metre. Find the total cost of painting, correct to the nearest rupee.