prove the following

Asked by deepita0 | 17th Feb, 2010, 07:21: PM

Expert Answer:

Circumference of the cone and that of the cylinder, means C = 2πR.

Volume of the solid = Volume of cone + Volume of cylinder

V = πR2h/3 + πR2(h/3)

Multiply both sides by 4π.

4πV = 4π2R2h/3 + 4π2R2(h/3)

4πV = (2πR)2h/3 + (2πR)2(h/3)

4πV = C2h/3 + C2(h/3)

4πV = C2(2h/3)

C2 = 3x4xπV/(2xh)

= 3x4x22xV/(7x2xh)

= 3x4x4x22xV/(4x7x2xh)         .................Multiply and divide by 4

C = 4[3x22xV/(56xh)]

Regards,

Team,

TopperLearning.

 

 

Answered by  | 18th Feb, 2010, 05:39: AM

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