julian owns an ice cream parlor. for pricing purposes he need to kno how much ice cream a waffle cone holds. the cone is 5 1/2 inches deep and has a diamete of 3 inches. whatis the volume of the waffle come..round to the nearest tenth is neccesary
This site shows how to find the volume of a cylinder.
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
V=3.14X1.5^2X5.5/3=13.0cubic inches.
To find the volume of the waffle cone, we can use the formula for the volume of a cone, which is given by:
V = (1/3) * π * r² * h
where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height or depth of the cone.
In this case, the waffle cone has a depth of 5 1/2 inches and a diameter of 3 inches. To find the radius, we divide the diameter by 2:
r = 3 / 2 = 1.5 inches
Let's calculate the volume using these values:
V = (1/3) * 3.14159 * (1.5)² * 5.5
V = (1/3) * 3.14159 * 2.25 * 5.5
V = (1/3) * (3.14159 * 11.825)
V = (1/3) * 37.1875
V ≈ 12.3958 cubic inches (rounded to the nearest tenth)
So, the volume of the waffle cone is approximately 12.4 cubic inches.