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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?
 11 months ago
 11 months ago
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?
 11 months ago
 11 months ago

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GoldPhenoixBest ResponseYou've already chosen the best response.0
You have to use the pythagorean theorem.
 11 months ago

adillieBest ResponseYou've already chosen the best response.1
225=36+x so189 13.75?
 11 months ago

jishanBest ResponseYou've already chosen the best response.1
l=dw:1368934202007:dw
 11 months ago

GoldPhenoixBest ResponseYou've already chosen the best response.0
Or you can use the formula that jishan gave you.
 11 months ago

jishanBest ResponseYou've already chosen the best response.1
h= height of cone r= radius & l=slant height
 11 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
Let r = radius s = slant height h = height \[\large r^2 + h^2 = s^2\] \[\large 6^2 + h^2 = 15^2\] \[\large 36 + h^2 = 225\] \[\large h^2 = 22536\] \[\large h^2 = 189\] \[\large h = \sqrt{189}\] \[\large h = \sqrt{9*21}\] \[\large h = \sqrt{9}*\sqrt{21}\] \[\large h = 3\sqrt{21}\] \[\large h \approx 13.747727\] \[\large h \approx 13.75\]
 11 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
you're very helpful and mature...
 11 months ago
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