Answer:
The volume of the cone is 923 inch³ approximately
Step-by-step explanation:
To calculate the volume of a cone with a diameter of 14 inches and a height of 18 inches, we will follow the steps below:
first, write the formula for calculating the volume of a cone
v= πr²[tex]\frac{h}{3}[/tex]
where r is the radius and h is the the height of the one
v is the volume of the cone
from the question given;
height h = 18 inches
diameter d = 14 inches
but d=2r which implies r= d/2 = 14/2 = 7
hence, radius r = 7 inches
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²[tex]\frac{h}{3}[/tex]
v ≈ 3.14 × 7² × [tex]\frac{18}{3}[/tex]
v≈ 3.14 × 49 × 6
v ≈ 923.16
v ≈ 923 inch³
Therefore, the volume of the cone is 923 inch³ approximately
