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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 800π cm³ Correct Answer Incorrect Answer
    B 992π cm³ Correct Answer Incorrect Answer
    C 1200π cm³ Correct Answer Incorrect Answer
    D 930π cm³ Correct Answer Incorrect Answer

    Solution

    First, find the height h using Pythagoras theorem: h = √(l² - r²) = √(20² - 15²) = √(400 - 225) = √175 = 5√7. Now, the volume V = (1/3)πr²h = (1/3)π(15²)(5√7) = (1/3)π(225)(5√7) = 375π√7 cm³. Correct answer : b) 992π cm³

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