Question
Tue March 09, 2010 By: Rohit Kumar

2 questions

Expert Reply
Wed March 10, 2010

Ans 1

Volume of B in the solid = Volume of cone = πr2h/3 = (22/7)(3/2)(3/2)(8/9) = 6.28 cm3

Volume of cylinder = πR2H = (22/7)(5)(5)(5) = 39.81 cm3

Volume of A in the solid = Volume of cylinder - Volume of cone = 39.81 - 6.28 = 33.53

Volume of metal A/Volume of metal in the solid = 33.53/6.28 =  5.34

 

Ans 2

Volume of bigger sphere = Total Volume of smaller spheres

Volume = Mass/Density.

Volume of 1 kg = 1/Density = πd3/6

Hence Density = 1/(πd3/6)

Volume of 7 kg = 7/Density.

Total volume = 8/Density = πD3/6           ... D is the diameter

 πD3/6 = 8/(1/(πd3/6)) = 8πd3/6

D3 =  8d3 = 8x3x3x3 = 2x2x2x3x3x3

D = 6 cm.

Regards,

Team,

TopperLearning.

 

Ask the Expert