Qstnid -A-2-a-volume Of A Cube Of Edge A, (B) Volume Of A Sphere Of Radius A, (C) The Ratio Of The Volume Of A Cube Of Edge A To The Volume Of A Sphere Of Radius A? - 01: Introduction To Physics

by HC Verma -

#2-a
volume of a cube of edge a, (b) volume of a sphere of radius a, (c) the ratio of the volume of a cube of edge a to the volume of a sphere of radius a?
Ans : Volume of a cube of edge a, `` V=a\times a\times a``
i.e., [V] = L `` \times `` L `` \times `` L = L3 (b) Volume of a sphere of radius a, `` V=\frac{4}{3}\pi (a{)}^{3}``
i.e., [V] = L `` \times `` L `` \times `` L = L3 (c) The ratio of the volume of the cube to the volume of the sphere is a dimensionless quantity.

#2-b
volume of a sphere of radius a,
Ans : Volume of a sphere of radius a, `` V=\frac{4}{3}\pi (a{)}^{3}``
i.e., [V] = L `` \times `` L `` \times `` L = L3

#2-c
the ratio of the volume of a cube of edge a to the volume of a sphere of radius a?
Ans : The ratio of the volume of the cube to the volume of the sphere is a dimensionless quantity.