Mathematics
A solid sphere is cut into two identical hemispheres.
Assertion (A): The total volume of two hemispheres is equal to the volume of the original sphere.
Reason (R): The total surface area of two hemispheres together is equal to the surface area of the original sphere.
(A) is true, (R) is false.
(A) is false, (R) is true.
Both (A) and (R) are true and (R) is the correct explanation of (A).
Both (A) and (R) are true, but (R) is not the correct explanation of (A).
Related Questions
Assertion (A): If sec θ + tan θ = a and sec θ − tan θ = b then ab = 1.
Reason (R): sec2 θ - tan2 θ = 1
(A) is true and (R) is false.
(A) is false and (R) is true.
Both (A) and (R) are true and (R) is the correct explanation of (A).
Both (A) and (R) are true, but (R) is not the correct explanation of (A).
Given that the sum of the squares of the first seven natural numbers is 140, then their mean is :
20
70
280
980