Volume and Surface Area

Question

The picture above is of an ice cream cone. The cone is filled with ice cream and there is a scoop of ice cream on the top (scoop not shown in picture). What is the volume of the ice cream? (Radius=9, Height=14).

Answer 1

volume of cone = 1/3 * PI * r ^2 * h

surface area of cone = PI * r * (l + r)

r = 9, h = 14 given

to find slant height (l) use Pythagorean Theorem

14^2 + 9^2 = l^2

277 = l^2

16.64 = l

plug numbers for r, h and l into equation. PI = 3.14159