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9th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume

  • question_answer
    A and B are similar cones with volumes 27\[\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\]and 125\[\mathbf{c}{{\mathbf{m}}^{2}}\]respectively. If cone A is 6 cm high, then the height of cone B will be

    A)  10 cm                         

    B)  5 cm           

    C)  15 cm

    D)  20 cm 

    Correct Answer: C

    Solution :

    (c): Not Available Suppose A is enlarged with scale factor k to give cone B. Volume of \[B={{K}^{3}}x\] Volume of A \[125={{K}^{3}}\times 27\] \[\frac{125}{125}={{K}^{3}}\]            \[\therefore K=\frac{5}{3}\] So, height of the cone \[B=\frac{5}{3}\times \] height of the cone \[A=\frac{5}{3}\times 9=15\]cm                           


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