"Question 2 Find the amount of water displaced by a solid spherical ball of diameter (i) 28 cm (ii) 0.21 m
Class 9 - Math - Surface Areas and Volumes Page 236"
Answers
Sphere:
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.
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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 × 22/7 × 14 × 14 × 14)
= 34496/3 = 11498.67 cm³
Amount of water displaced by a solid spherical ball= 11498.67 cm³
(ii) Diameter of the
spherical ball (d)= 0.21 m
Radius (r) = d/2= 0.21/2 m = 0.105 m
Amount of water displaced by a solid spherical ball = Volume of spherical ball=
4/3πr³
=(4/3×22/7×0.105×0.105×0.105)
= 0.004851 m³
Amount of water displaced by a solid spherical ball =0.004851 m³
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