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CBSE Class 9 Answered

The area of the curved surface area of cone of slant height 50 cm is 2200 cm². Find its height.
Asked by mkmishra101 | 03 Mar, 2016, 05:46: PM
answered-by-expert Expert Answer
begin mathsize 16px style Curved space surface space area space of space cone equals 2200 space cm squared Slant space height space of space cone comma space straight l equals 50 space cm Let space straight h space be space the space height space of space cone. space straight C SA thin space of space cone equals πrl rightwards double arrow 2200 equals 22 over 7 cross times straight r cross times 50 rightwards double arrow straight r equals fraction numerator 2200 cross times 7 over denominator 22 cross times 50 end fraction equals 14 space cm Now comma space straight l squared equals straight r squared plus straight h squared rightwards double arrow straight h squared equals straight l squared minus straight r squared equals left parenthesis 50 right parenthesis squared minus left parenthesis 14 right parenthesis squared equals 2500 minus 196 equals 2304 rightwards double arrow straight h equals 48 space cm end style
Answered by Rashmi Khot | 03 Mar, 2016, 06:01: PM

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CBSE 9 - Maths
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