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Volume >> Cone calculator
Volume

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Volume
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Cone
Volume 4 of 6
I know that for a cone
Radius
Diameter
=
and
Slant Height(l)
Height(h)
=
. From this find out
Slant Height(l)
Height(h)
Curved Surface Area
Total Surface Area
Volume
of the cone.
`pi = `
22/7
3.14159
Solution
Cone Formula
Volume Formula
Solution
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Volume of Cone
Height
`(h) = sqrt(l^2  r^2)`
Curved Surface Area
`(CSA) = pi r l`
Total Surface Area
`(TSA) = pi r (l + r)`
Volume
`(V) = (pi r^2 h)/3`
Example :
I know that for a cone Radius = 3 and Length = 5 . From this find out Volume of the cone.
`"Here, we have Radius "(r) = 3" and Slant Height " (l) = 5" (Given)"`
`l^2 = r^2 + h^2`
`h^2 = l^2  r^2`
`h^2 = 5^2  3^2`
`h^2 = 16`
`h = 4`
`"Volume" = (pi r^2 h)/3`
` = (pi * 3^2 * 4)/3`
` = 37.6991`
`"Total Surface Area" = pi r (l + r)`
` = pi * 3 (5 + 3)`
` = 75.3982`
`"Curved Surface Area" = pi r l`
` = pi * 3 * 5`
` = 47.1239`
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