Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739
For Business Enquiry

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

A sphere & a cube have equal surface area. Show that the ratio of volume of surface areas of sphere to that of cube is root6:root pi.

Asked by 10th March 2013, 10:59 PM
Answered by Expert
Answer:
Answer: Given : A sphere & a cube have equal surface area.
To Show : that the ratio of volume of surface areas of sphere to that of cube is 61/2: pi1/2
 
As the surface area of sphere is equal to that of cube
=> 4pi r2 = 6a2
=> r 2/a2 = 6/(4 pi)
=> r/a = 61/2/(2 pi1/2 )
 
The ratio of the vloume of sphere to cube is = [(4/3) pi r3 ] / (a3 )
                                                        
Putting the value of eq 1 , we get
vol of sphere/ vol of cube = [(4/3) pi ( 61/2 a/(2 pi1/2 ))3 ] / [a3 ]
                                      = (4 pi 63/2 ) / (3 * 8 pi3/2 )
                                      = 61/2 / pi1/2 
                              Hence proved
Answered by Expert 11th March 2013, 12:51 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp