Question

a cone has a base of radius 3 cm and slant height 5 cm find its height​

Answer 1

Answer:

r=3cm

slant hieght (l)= 5cm

h=?

l^2=r^2+h^2

5^2=3^2+h^2

25 = 9 +h^2

25-9 = h^2

16=h^2

√16 = h

4=h

therefore. height of the cone is 4 cm

hope it will help

Answer 2

Given - Base and slant height

Find - Height

Solution - The height is 4 cm.

Using Pythagoras theorem to find the height.

Let slant height be 'l', height be 'h' and radius be 'r'.

l² = h² + r²

5² = h² + 3²

h² = 25 - 9

h² = 16

h = ✓16

h = 4 cm

So, the height is 4 cm.