tricky problem pleasse help!!?

Question

Find the Lateral Area, Surface Area, and Volume of a cone with radius 5 cm and slant height 13 cm. Use pi = 3.14 and round your solutions to the nearest hundredth if necessary.
Show your work for credit.

Answer 1

Lateral Area
=pi*r*l
=3.14*5*13
=204.1 sq.cm
Surface Area
=pi*r^2+pi*r*l
=pi*r(r+l)
=3.14*5(5+13)
=3.14*5*18
=282.6 sq cm
vertical height h
=sqrt(l^2-r^2)
=sqrt(169-25)
sqrt144=12cm
Volume
=pi*r^2*h/3
=3.14*25*12/3
=314 cu cm
03

Answer 2

The height of the cone, h, is sqrt(13^2-5^2) = 12cm
V = (1/3) pi r^2h
Lateral area = pi r L where L = slant height
Surface area lateral area+ pi r^2
So just plug L= 13 cm, r= 5cm, h = 12cm, pi =3.14 into above formulae. Nothing tricky about this.