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
V=(3.14X1.5^2X5.5)/3=13.0cubic inches.
To find the volume of the waffle cone, you can use the formula for the volume of a cone: V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cone's base, and h is the height of the cone.
First, you need to find the radius (r) of the cone's base. The diameter (d) is given, so you can divide it by 2 to get the radius.
Given: diameter (d) = 3 inches
radius (r) = d/2 = 3/2 = 1.5 inches
Next, you need to find the height (h) of the cone.
Given: height (h) = 5 1/2 inches
To convert this mixed fraction to an improper fraction, multiply the whole number (5) by the denominator (2) and add the numerator (1). Then, write the result as the numerator over the denominator: h = (5*2 + 1)/2 = 11/2 = 5.5 inches.
Now, substitute the values into the volume formula:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14159 * (1.5)^2 * 5.5
Calculating this expression:
V = (1/3) * 3.14159 * 2.25 * 5.5
V ≈ 9.6309636 cubic inches
Rounding to the nearest tenth, the volume of the waffle cone is approximately 9.6 cubic inches.