Suppose you order an ice cream cone that holds 157 cubic centimeters of your favorite flavor. You calculate the height of your cone is 12cm. Find the diameter of your ice cream cone. (Use π≈3.14, and round to the nearest hundredth.)

Answer: Diameter = 7.06 cm

Step-by-step explanation:

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height of the cone

r represents the radius of the cone

π is a constant whose value is 3.14

From the information given

Volume = 157 cubic centimeters

Height = 12cm

Therefore,

157 = 1/3 * 3.14 * r² * 12

157 = 12.56r²

r² = 157/12.56

r² = 12.5

Taking square root of both sides of the equation, it becomes

r = √12.5

r = 3.53 cm

Diameter = 2 * radius = 2 * 3.53

Diameter = 7.06 cm