Question

A cone has a base radius of 3 cm and a slant height of 5 cm.

Find h, the perpendicular height of the cone.

Answer 1

I=4 (Slant height)

R=3 (Radius)

H=5 (slant height)

Explanation:

Imagine inclination, peprendicular height and radius as a triangle, so this will have a 90 degrees angle and Pythagor theorem will imply to the calculations, as :

`a^(2)+b^(2)= c^(2)\\`

where Height is A , Radius is B, and Inclination is C we have:

`3^(2) +I^(2) = 5^(2)`

from above we have:

`I^(2) =25-9`

and

`√(I)=√(16) =4`

Answer 2

h=4

Explanation:

5²-3²=h²

h²=16

h=4cm