CBSE Class 9 Answered
if the volume of a cone is 7546cm³ and its height is 21cm find its curved surface area
Asked by surajdabas414 | 15 Nov, 2023, 17:34: PM
Let R be radius of cone and H be the height of cone.
Volume of cone = (1/3) π R2 H = 7546 cm3 .
Height of cone = 21 cm
Radius of cone , ![begin mathsize 14px style R space equals space square root of fraction numerator 3 space cross times 7546 over denominator straight pi space cross times space 21 end fraction end root space equals space 18.52 space c m end style](https://images.topperlearning.com/topper/tinymce/cache/5ded2f8eec3511f76672340952ca080a.png)
![begin mathsize 14px style R space equals space square root of fraction numerator 3 space cross times 7546 over denominator straight pi space cross times space 21 end fraction end root space equals space 18.52 space c m end style](https://images.topperlearning.com/topper/tinymce/cache/5ded2f8eec3511f76672340952ca080a.png)
Curved surface area = ![begin mathsize 14px style straight pi space cross times space straight R space cross times space square root of straight R squared plus straight H squared end root space equals space straight pi space cross times space 18.52 space cross times square root of left parenthesis 18.52 right parenthesis squared plus 21 to the power of 2 to the power of space end exponent end root space equals space 1629 space cm squared end style](https://images.topperlearning.com/topper/tinymce/cache/b9e41c7e23bd7e78c389f1b28d466b76.png)
![begin mathsize 14px style straight pi space cross times space straight R space cross times space square root of straight R squared plus straight H squared end root space equals space straight pi space cross times space 18.52 space cross times square root of left parenthesis 18.52 right parenthesis squared plus 21 to the power of 2 to the power of space end exponent end root space equals space 1629 space cm squared end style](https://images.topperlearning.com/topper/tinymce/cache/b9e41c7e23bd7e78c389f1b28d466b76.png)
Answered by Thiyagarajan K | 16 Nov, 2023, 21:29: PM
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