Question

    The volume of a conical water tank is 4928 m³ and the

    area of its base is 616 m². Find the length of the canvas required to build the tank if the width of the canvas is 2 meters.
    A 254.2m Correct Answer Incorrect Answer
    B 204.5m Correct Answer Incorrect Answer
    C 304.7m Correct Answer Incorrect Answer
    D 336.4m Correct Answer Incorrect Answer

    Solution

    Πr2 = 616 22/7×r2= 616 R = 14 cm And now the volume of the conical tent = 4928 1/3πr2 h= 4928 1/3 ×22/7 × 196 ×h = 4928 h= ( 4928 ×7×3)/22× 196 =24m l = √ 576+196 = √ 772 =2 7.7 cm The area of the canvas required to build the tent = πr l Which will equal the area of the rectangular canvas. π r l = 2×length of canvas 22/7× 7× 27.7 = 2 × length of canvas length of canvas =11×2 7.7 = 304.7 m

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