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gineeringstudent,was asked to make a model shaped like a cylinder withtached at its two ends by using a thin aluminium sheet. The diameter of them and its length is 12 cm. If each cone has a height of 2 cm. find the volumened in the model that Rachel made.(Assume the outer and inner dimensionsI, an engineering stwo cones attached at its tws 3 cof air contained theof the model to be nearly the same.) |
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Answer» Given,diameter=3cmradius=3/2 cmheight of the model=height of the two cones+ height of the cylinder12=2×2+h12-4=hh=8cmvolume=πr²h+2(1/3 πr²h)=22/7 ×3/2 ×3/2 ×8 +2(1/3 (22/7×3/2×3/2×2))=22×3×3×8/2×2×7 +2(1/3 (22×3×3×2/2×2×7))=56.57+2(1/3 × 14.14)=56.57+2(14.14/3)=56.57+2(4.71)=56.57+9.42=65.99m³air occupied=65.99m³ |
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