S = 13 cm and R = 5 cm what is the cones height (r is the radius and s is the slant height)

Answer 1

To find the cone's height (h), we can use the formula:

h = √(s^2 - r^2)

Given that S = 13 cm and R = 5 cm:

h = √(13^2 - 5^2)
h = √(169 - 25)
h = √144
h = 12 cm

Therefore, the cone's height is 12 cm.

Answer 2

what is the cones volume?

Answer 3

The formula for the volume of a cone is given by:

V = (1/3)πr^2h

Given that R = 5 cm and h = 12 cm:

V = (1/3)π(5^2)(12)
V = (1/3)π(25)(12)
V = (1/3)π(300)
V = 100π

Therefore, the volume of the cone is 100π cubic cm.