julian owns an ice cream perlor. for pricing purposes, he needs to know how much ice cream a waffle cone holds. the cone is 5 1/2 inches deep and has a diameter of 3 inches. what is the volume of the waffle cone? if necessary round to the nearest tenth.
V= ⅓(π*r^2)*h
Convert diameter to r. Depth = h. Insert values and solve.
thank you
To find the volume of a waffle cone, you can use the formula for the volume of a cone, which is given by:
V = (1/3) * π * r^2 * h
where:
V is the volume of the cone
π is pi (approximately 3.14159)
r is the radius of the base of the cone
h is the height of the cone
Since the cone has a diameter of 3 inches, the radius (r) would be half of that, which is 1.5 inches. The height (h) of the cone is given as 5 1/2 inches.
Now we can substitute the values into the formula to find the volume:
V = (1/3) * π * (1.5)^2 * 5.5
V = (1/3) * 3.14159 * 2.25 * 5.5
V ≈ 25.16 cubic inches
So, the volume of the waffle cone is approximately 25.16 cubic inches.