The radius and height of the cylinder are in the ratio of 5:14. Find the total surface area of the cylinder if its volume is 8800

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The radius and height of the cylinder are in the ratio of 5:14. Find the total surface area of the cylinder if its volume is 8800 m3.

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  1. Answer:let radius of cylinder = 5x and height = 14x

    volume of cylinder= 8800m^

    πr^h = 8800

    22/7 × 5x × 5x × 14x = 8800

    after calculation we find that

    x = 2

    so after putting value of x

    radius = 10m

    and height = 28m

    then, total surface area of cylinder

    =2πr(r+h)

    = 2×22/7×10 (10+28)

    = 2388.57m^

    hope u understand it

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