adillie
The base of a cone has a radius of 6 cm. The slant height of the cone is 15 cm. What is the height of the cone?



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adillie
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@jim_thompson5910

GoldPhenoix
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You have to use the pythagorean theorem.

adillie
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225=36+x
so189 13.75?

jishan
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l=dw:1368934202007:dw

GoldPhenoix
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Or you can use the formula that jishan gave you.

adillie
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is my answer right

jishan
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yeah bro

jishan
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h= height of cone r= radius & l=slant height

adillie
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thank you

jishan
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always welcome bros.

jim_thompson5910
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Let
r = radius
s = slant height
h = height
\[\large r^2 + h^2 = s^2\]
\[\large 6^2 + h^2 = 15^2\]
\[\large 36 + h^2 = 225\]
\[\large h^2 = 22536\]
\[\large h^2 = 189\]
\[\large h = \sqrt{189}\]
\[\large h = \sqrt{9*21}\]
\[\large h = \sqrt{9}*\sqrt{21}\]
\[\large h = 3\sqrt{21}\]
\[\large h \approx 13.747727\]
\[\large h \approx 13.75\]

geerky42
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jim_thompson5910
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you're very helpful and mature...