📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    âš¡ Month End Offer - Flat 52% Off On All Courses! Enroll Now âš¡
    00:00:00 AM Left

    Question

    A rectangular piece of copper foil of length 28 cm and

    area 1232 cm2 is folded along its width to form a cylinder such that there is only one layer of copper foil on any part of the cylinder. What is the volume (in cm3) of the cylinder so formed?
    A 1886.5 cm³ Correct Answer Incorrect Answer
    B 4312 cm³ Correct Answer Incorrect Answer
    C 808.5 cm³ Correct Answer Incorrect Answer
    D 539 cm³ Correct Answer Incorrect Answer
    E 2425.5 cm³ Correct Answer Incorrect Answer

    Solution

    Width of the rectangular piece of copper foil = 1232/28 = 44 cm Since the foil is folded along its width to form a cylinder without any double layer, circumference of the cylinder formed = width of the rectangular foil Also, height of the cylinder so formed = length of the rectangular copper foil So, 2 × π × radius = 44 Radius of cylinder = 44 ÷ (2 × 22/7) = (44/44) × 7 = 7 cm So, volume of the cylinder so formed = π × (radius)2 × height = (22/7) × 7 × 7 × 28 = 4312 cm³

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question