Question
Mathematics Question on Surface Areas and Volumes
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A) : If volumes of two spheres are in the ratio 125:64, then their surface areas will be in the ratio 25:16.
Reason (R) : If volumes of two spheres are V1, V2 and their respective surface areas are S1, S2, then
S2S1=(V2V1)32
In the light of the above statements, choose the most appropriate answer from the options given below:
Both (A) and (R) are correct and (R) is the correct explanation of (A)
Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)
(A) is correct but (R) is not correct
(A) is not correct but (R) is correct
Both (A) and (R) are correct and (R) is the correct explanation of (A)
Solution
The correct option is(A): Both (A) and (R) are correct and (R) is the correct explanation of (A)