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
