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CBSE - IX - Mathematics - Surface Areas and Volumes

a semi-circular sheet of metal of diameter 28cm is bent to form an open conical cup. Find the capacity of the cup.

Asked by Kaustav Sen 12th February 2011, 1:40 PM
Answered by Expert


Dear Student,
Here is the solution:
When the semi-circular sheet is bent into an open conical cup, the radius of the sheet becomes slant height of the cup and circumference of the sheet becomes circumference of the base of the cup.
therefore, l = slant height of the cup = 14 cm.
Let r cm be the radius and h cm the height(depth) of the cup. Then,
circumference of the base of the cup = circumference of the sheet
Team Topperlearning
Answered by Expert 13th February 2011, 10:05 AM

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