The lateral surface area of a right circular cone of radius 12 cm is 489.84 cm^2.Find the height of the cone.
Answers
Answered by
16
radius, r = 12 cm
L.S.A of cone = 489.84 cm^2
i.e., = pie*r*l = 489.84 cm^2
= 22/7*12*l = 489.84 cm^2
l = 489.84*7
~~~~~~~~ = 12.98 cm = 13 cm (appx.)
22*12
h^2 = l^2 - r^2
= 13^2 - 12^2
= 169 - 144
= 25
h = root (25)
= 5 cm
Hope it helped :)
L.S.A of cone = 489.84 cm^2
i.e., = pie*r*l = 489.84 cm^2
= 22/7*12*l = 489.84 cm^2
l = 489.84*7
~~~~~~~~ = 12.98 cm = 13 cm (appx.)
22*12
h^2 = l^2 - r^2
= 13^2 - 12^2
= 169 - 144
= 25
h = root (25)
= 5 cm
Hope it helped :)
Similar questions