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

    Question

    A solid hemisphere of radius 7 cm is melted and recast

    into small solid spheres each of radius 3.5 cm. How many such small spheres can be made?
    A 4 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    Volume of a hemisphere = (2/3)πr³ For radius 7 cm: V_hemi = (2/3)π × 7³ = (2/3)π × 343 Volume of a sphere of radius 3.5 cm ( = 7/2): V_sphere = (4/3)π(7/2)³ = (4/3)π × 343/8 = (343/6)π Number of spheres = V_hemi / V_sphere = [(2/3)π × 343] / [(343/6)π] = (2/3) / (1/6) = (2/3) × 6 = 4 So 4 spheres.

    Practice Next
    More Quadrilateral Questions
    ask-question