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    Question

    Volume of material used in constructing a hollow

    cylinder of height 24 cm and thickness 1 cm is 96Ï€. What is the sum of the internal and external radii?
    A 7 cm Correct Answer Incorrect Answer
    B 5 cm Correct Answer Incorrect Answer
    C 4 cm Correct Answer Incorrect Answer
    D 3 cm Correct Answer Incorrect Answer

    Solution

    Let external and internal radius of the cylinder be R and r cm respectively. Thickness of cylinder (R - r) = 1 cm. Height of the radius h = 24 cm As we know, Volume of hollow cylinder = π (R2 – r²) h π (R2 – r²) h = 96π   π (R + r) (R - r) h = 96π   (R+ r) x 1 x 24 = 96   (R+ r) = 96/24   (R + r) = 4 cm

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