CBSE Class 12-science Answered
the height of a right circular cone is 24 cm whose curved surface area is 550 cm square .find it's volume
Asked by clbalaji.cnhalli | 05 Feb, 2020, 20:30: PM
The height of a right circular cone is 24 cm
l2 = r2 + h2
l2 = r2 + 576
![begin mathsize 16px style straight l equals square root of straight r squared plus straight h squared end root equals square root of straight r squared plus 576 end root end style](https://images.topperlearning.com/topper/tinymce/cache/b74e831ef8a445c1a55d7c6f3c6ea2ee.png)
curved surface area is 550 cm square
∏rl = 550
![begin mathsize 16px style 22 over 7 straight r square root of straight r squared plus 576 end root equals 550 end style](https://images.topperlearning.com/topper/tinymce/cache/6b5e0084f42d92717ca458ffdb7b3696.png)
![begin mathsize 16px style straight r square root of straight r squared plus 576 end root equals 175 end style](https://images.topperlearning.com/topper/tinymce/cache/471d3ed9ac88697029d55ccd1c784a6a.png)
![begin mathsize 16px style straight r squared open parentheses straight r squared plus 576 close parentheses equals 30625 end style](https://images.topperlearning.com/topper/tinymce/cache/5a336c8122f6619f34024b54e443d97a.png)
Solving this we get r = 7 cm
Now you can find volume of a cone.
Answered by Sneha shidid | 06 Feb, 2020, 09:41: AM
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