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

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 solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere.Find the radius of the hemispphere and the total height of the toy if height of the cone is 3 times the radius.

Asked by Aleena 14th March 2015, 10:26 AM
Answered by Expert
Answer:

hi aleena,v o l u m e space o f space c y l i n d e r space equals space 12 space cross times space v o l u m e space o f space t o y v o l u m e space o f space c y l i n d e r space equals space 12 left parenthesis v o l u m e space o f space c o n e plus v o l u m e space o f space h e m i s p h e r e right parenthesis πr squared straight h space equals space 12 cross times open parentheses 1 third cross times straight pi cross times straight r subscript 1 squared cross times straight h space space space plus space space space 2 over 3 cross times straight pi cross times straight r subscript 1 cubed close parentheses space space space space space left parenthesis radius space of space cone space equals space radius space of space hemisphere right parenthesis straight r squared straight h space equals space 12 over 3 cross times straight r subscript 1 squared cross times 3 straight r space space space plus space space 12 cross times 2 over 3 cross times straight r subscript 1 cubed straight r squared straight h space equals space 20 straight r subscript 1 cubed 6 cross times 6 cross times 15 equals space 20 cross times straight r subscript 1 cubed straight r subscript 1 cubed space equals space 27 r subscript 1 equals space 3 c m h space equals space 3 cross times r equals space 3 cross times 3 equals space 9 c m r a d i u s equals space 3 c m h e i g h t equals space 9 c m

Answered by Expert 16th March 2015, 6:41 PM
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