ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    The radius of a sphere is 75% of the radius of a

    cylinder, while the height of the cylinder is 25% greater than its radius. Determine the ratio of the volume of the sphere to that of the cylinder.
    A 9:20 Correct Answer Incorrect Answer
    B 11:20 Correct Answer Incorrect Answer
    C 3:20 Correct Answer Incorrect Answer
    D 3:5 Correct Answer Incorrect Answer
    E 3:4 Correct Answer Incorrect Answer

    Solution

    Let the radius of the cylinder be '4a' units. So, the height of the cylinder = 4a X (5/4) = '5a' units Radius of the sphere = 4a X 0.75 = '3a' units Volume of the sphere = (4/3) X ╧А X radius3 Volume of the cylinder = ╧А X radius2┬аX height Therefore, required ratio = ((4/3) X ╧А X radius3) :(╧А X radius2┬аX height) = [(4/3) X ╧А X (3a)┬а3]:[╧А X (4a)┬а2┬аX 5a] = 36:80 = 9:20

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question