2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Mensuration

10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    Two cones A and B have their base radii in the ratio of 4 : 3 and their heights in the ratio 3:4. The ratio of volume of cone A to that of cone B is

    A)  4: 3                                         

    B)  3 : 4

    C)  2: 3                       

    D)         1 : 2

    Correct Answer: A

    Solution :

     
    Cone A Cone A
    \[r=4x\] \[r=3x\] [in the ratio \[4:3\]]
    \[h=3y\] \[h=4y\] [in the radio \[3:4\]]
    Volume, \[{{V}_{A}}=\frac{1}{3}\pi \,{{(4x)}^{2}}.3y\] Volume, \[{{V}_{B}}=\frac{1}{3}\pi \,{{(3x)}^{2}}.4y\] \[\therefore \]   \[\frac{{{V}_{A}}}{{{V}_{B}}}=\frac{\frac{1}{3}\pi .16{{x}^{2}}.3y}{\frac{1}{3}\pi .9{{x}^{2}}.4y}=\frac{4}{3}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner