Maths-
General
Easy

Question

If ratio of the radii of two spheres is 3:7 , find the ratio of their volumes ?

Hint:

Volume of the sphere is equals 4 over 3 pi r cubed

The correct answer is: 27:343


    Explanation:
    • The radii of two sphere are in ratio 3:7
    • We have to find the ratio of their volume
    Step 1 of 1:
    Let the ratio be
    Radius of 1st sphere  and radius of 2nd sphere 7r
    Volume of 1st sphere
    equals 4 over 3 pi left parenthesis 3 r right parenthesis cubed
    equals 27 cross times 4 over 3 pi r cubed
    Volume of 2nd sphere
    equals 4 over 3 pi left parenthesis 7 r right parenthesis cubed
    equals 343 cross times 4 over 3 pi r cubed
    Their ratio will be
    equals 27 cross times 4 over 3 pi r cubed colon 343 cross times 4 over 3 pi r cubed
    = 27:343

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