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Question
Find the volume of the right circular cone whose height is 12 cm and slant length is 15 cm . (π = 3.14)
Solution
Slant length = l = 15 cm
Height = h = 12 cm
Radius of the base = r
We know ,
`l^2 = h^2 + r^2`
⇒ `r^2 = l^2 - h^2`
⇒ r = `sqrt(l^2 - h^2)`
⇒ r = `sqrt(15^2 - 12^2)`
⇒ r = 9 cm
Radius = 9 cm
Volume = `1/3 xx (pir^2) xx h`
= `1/3 xx 3.14 xx 9 xx 9 xx 12`
= 1017.36 cm3
Volume of the cone = 1017.36 cm3
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