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    Question

    A cone has a slant height of 20 cm and the radius of its

    base is 15 cm. Find the volume of the cone
    A 800╧А cm┬│ Correct Answer Incorrect Answer
    B 992╧А cm┬│ Correct Answer Incorrect Answer
    C 1200╧А cm┬│ Correct Answer Incorrect Answer
    D 930╧А cm┬│ Correct Answer Incorrect Answer

    Solution

    First, find the height h using Pythagoras theorem: h = тИЪ(l┬▓ - r┬▓) = тИЪ(20┬▓ - 15┬▓) = тИЪ(400 - 225) = тИЪ175 = 5тИЪ7. Now, the volume V = (1/3)╧Аr┬▓h = (1/3)╧А(15┬▓)(5тИЪ7) = (1/3)╧А(225)(5тИЪ7) = 375╧АтИЪ7 cm┬│. Correct answer : b) 992╧А cm┬│

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