Question

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

Answer 1

Step-by-step explanation:

let the slant height be the hypotenuse, radius be the base and height be the perpendicular. hence, the height of the cone is 30cm.

Answer 2

Answer:

height is 30cm

Step-by-step explanation:

Let,

slant height = l

height = h

diameter =d

radius = r

Remember the relation:

l²=h²+r²

First, d=32cm

Therefore,

r=16 cm ...(2r=d)

Substitute all the known values,

${34}^{2} = {16}^{2} + {h}^{2}$

$1156 = 256 + {h}^{2}$

${h}^{2} = 1156 - 256$

${h}^{2} = 900$

$h = 30$

Ans. The height of the cone is 30cm.