Question

Find the amount of water displaced by a solid spherical ball of diameter

(a) 28 cm (b) 0.21 cm​

Answer 1

Answer:

Step-by-step explanation:

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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 Hope this will help you.

Answer 2

Step-by-step explanation:

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.

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

 Hope this will help you....