Find the amount of water displaced by a solid spherical ball of diamet...
A sphere is
a three dimensional figure which is made up of all points in the space which
lie at a constant distance from a fixed point called the centre of the sphere
and a constant distance is called its radius.
VOLUME:
The space occupied by an object solid body
is called the volume of the particular object solid body volume is always
measured in cubic unit.
solution:
(i) Given:
Diameter of the spherical ball (d)= 28 cm
Radius =d/2= 28/2 cm = 14 cm
Amount of water displaced by a solid spherical ball = Volume of spherical ball =
4/3πr3
= (4/3 x 22/7 x 14 x 14 x 14)
= 34496/3 = 11498.67 cm
Amount of water displaced by a solid spherical ball= 11498.67
cm
(ii) Diameter of the
spherical ball (d)= 0.21 m
Radius (r) = d/2= 0.21/2 m = 0.105 m3
Amount of water displaced by a solid spherical ball = Volume of spherical ball=
4/3πr3
=(4/3x22/7x0.105x0.105x0.105)
= 0.004851 m3
Amount of water displaced by a solid spherical ball =0.004851 m3