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    The capacity of an ice cream cone is 66 cm3​. What is the radius( in cm) of its base if its height is 7 cm ( use π=227\pi = \frac{22}{7}π=72
    Question

    The capacity of an ice cream cone is 66 cm3​. What is the radius( in cm) of its base if its height is 7 cm ( use π=227\pi = \frac{22}{7})​

    A.

    3

    B.

    7

    C.

    3.5

    D.

    6

    Correct option is A

    Given: 

    Capacity(volume) of the ice cream cone = 66 cm3 

    Height, h = 7cm 

    Formula Used: 

    Volume of cone = 13×π×r2×h\frac 13 \times \pi\times r^2 \times h​   

    Solution: 

    Applying the formula:

    66=13×π×r2×7 66=13×227×r2×7  r2=66×322 r=3×3=3 cm66 = \frac13 \times \pi \times r^2 \times 7 \\ \ \\ 66 = \frac13 \times \frac{22}{7}\times r^2 \times 7 \\ \ \\ \implies r^2 = \frac{66 \times 3}{22} \\ \ \\ r = \sqrt{3 \times 3} = 3 \ cm​​

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