Question

find the height of cone if its slant height is 34 cm and base diameter is 32cm

Answer 1

Slant height l = 34 cm
Diameter d = 32 cm
Radius r = 32/2 = 16 cm
l^2 = (h^2) + (r^2)
(34^2) = (h^2) + (16^2)
1156 = h^2 + 256
h^2 = 1156 - 256
h^2 = 900
h = 30 cm

Hence height = 30 cm

Answer 2

Answer:

30 cm

Step-by-step explanation:

r=34/2=16cm

l=34cm

l2=r2+h2

(34)^2=(16)^2+h^2

1156=256+h^2

h^2=1156-256

h^2=900

h=√900

   =30cm