Question

While determining the density of the material of a sphere, using a spring balance and measuring cylinder, a
student noted the following readings : [1]
(i) Mass of the sphere = 81 g
(ii) Reading of water level in the cylinder without sphere in it = 54 ml
(iii) Reading of water level in the cylinder with sphere in it = 63 ml
On the basis of these observations, the density of the material of the sphere is
(a) 1500 kg/m3
(b) 6000 kg/m3
(c) 7000 kg/m3
(d) 9000 kg/m3

Answer 1

Hey there !

Mass = 81 grams = 0.008 kg

Initial reading = 54 ml

Final reading = 63 ml

Volume of sphere = Amount of water displaced by it 

Amount of water displaced by it  = 
Final reading - Initial reading
 = 63 - 54
 = 9ml
 
Volume = 9 ml = 9 cm³          [ 1 ml = 1 cm³]

Density = Mass  / Volume
 = 81/9
 = 9 g/cm³
= 9000 kg/m³                            [1g/cm³ = 1000 kg/m³]


Hence option (D) is correct !!

Hope this helps you !

Answer 2

Volume of sphere= water displaced by it

Water displaced by it= final water level- initial water level

= 63-54
=9ml
= 9cm3

density= Mass/ volume
density= 81g/9cm3
= 9g/cm3
=9000kg/m3

therefore d part is the right answer.

hope this helps you...
pl mark it as a brainliest answer...