A cone has a diameter of 30 in. and a slant height of 17 in. What is the approximate volume of the cone?

We need to find the height of the cylinder

pythagorean theorem

15 is the bottom leg (30/2=15)

17 is hypotonuse

b=height

15^2+b^2=17^2

225+b^2=289

minus 225 both sides

b^2=64

sqrt both sides b=8

Vcone = (1/3) hpir^2

d/2=r=30/2=15

h=8

V = (1/3) 8pi15^2

V = (1/3) 8pi225

V=8pi75

V=600pi

aprox pi=3.14159256

V=1884.955536 in^3

round if nececary