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a frusium of aThe diameters of the lower and upper ends of a bucket in the form of24 cm, find:cone are 10 cm and 30 cm respectively. If its height is(i) The area of the metal sheet used to make the bucket.(ii) Why we should avoid the bucket made by ordinary plastic 2 [Use T3.1410 |
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Answer» GIVEN :Diameter of upper end of bucket =30cmRadius of the upper end of the frustum of cone( r1) = 15cmDiameter of lower end of bucket = 10 cmradius of the lower end of the frustum of cone( r2) = 5 cmH of the frustum of cone = 24 cmSlant height of bucket ( L)= √(h² + (r1- r2)²L =√24² + (15 - 5)² = √576 + 10²L =√(576+(100)= √676 = 26cmL = 26 cmArea of metal sheet require to make it = π(r1 + r2)L + πr1² = 3.14(15 + 5) × 26 + π(5)² = 3.14 × 20 × 26 + 25 × 3.14= 3.14 (520+ 25)= 545 × 3.14= 1711.3 cm² Hence, the Area of metal sheet used to make the bucket is 1711.3 cm². |
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