A water storage vessel is formed by joining two identical hemispherical ends to a…

MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A water storage vessel is formed by joining two identical hemispherical ends to a right circular cylindrical portion. The common radius of the hemispheres and the cylinder is 1.5 m and the height of the cylindrical portion is 4 m. a) Find the curved surface area of the cylindrical portion. b) Find the combined outer surface area of the two hemispherical ends. c) Hence determine the total outer surface area of the vessel. d) If the vessel is to be painted on the outside at the rate of Rs 120 per square metre, calculate the total cost of painting.

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