Answer:
Explanation:
To find the approximate volume of a cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cone.
Given that the diameter of the cone is 16 centimeters, we can calculate the radius by dividing the diameter by 2:
Radius = 16 cm / 2 = 8 cm
Now we can substitute the values into the formula:
Volume = (1/3) * 3.14159 * (8 cm)^2 * 20 cm
Calculating this gives us:
Volume ≈ 1/3 * 3.14159 * 64 cm^2 * 20 cm
Volume ≈ 67.02064 cm^3
Therefore, the approximate volume of the cone is approximately 67.02 cubic centimeters.