A right circular cylindrical grain silo has an external radius of and a height of

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

Problem

A right circular cylindrical grain silo has an external radius of 3.5 m3.5\,\text{m} and a height of 10 m10\,\text{m}. The curved side is to be painted at the rate of ₹18₹18 per square metre, while the circular top is to be painted at the rate of ₹25₹25 per square metre. To cover possible wastage and overlap, 10%10\% extra paint must be purchased. (a) Find the area of the curved surface and the area of the top that need painting. (b) Calculate the amount of paint (in square metres of coverage) that must be bought, including the 10%10\% extra. (c) Determine the total cost of the paint for the silo.

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