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Answer:
The dimension is L
Explanation:
Dimension analysis is a method of representing quantities majorly with respect to some fundamental quantities of mass (M), length (L), time (T).
A sphere has a definite volume which relates to its radius by:
V =
In this equation is a dimensionless quantity, and the unit of v is
.
But, metre is a measure of length, thus it has a dimension of L.
So that,
≅
Then,
=
Find the cube root of both sides to have,
r = L
Therefore, the dimension of the radius of a sphere is L.
