A conical tent has a vertical height of and a base radius of

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

Problem

A conical tent has a vertical height of 3 m3\,\text{m} and a base radius of 2.8 m2.8\,\text{m}. Canvas is required only for the curved surface, and an additional 10%10\% of the required canvas is to be allowed for folding and stitching. The canvas costs ₹150 per square metre. (i) Determine the slant height of the tent, correct to two decimal places. (ii) Calculate the actual area of canvas needed for the curved surface before adding the extra allowance. (iii) Find the total cost of purchasing the canvas, including the 10%10\% extra.

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