David as asked to find the volume of the shape below. Use 3.14 for π. Identify David's error and show all steps to arrive to the correct answer. Math
David's error is that he calculated the volume of the shape as if it were a cylinder, when in fact it is a cone.
To find the volume of a cone, you use the formula V = 1/3πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
Given:
r = 4 cm
h = 8 cm
Substitute the values into the formula:
V = 1/3 * 3.14 * (4)^2 * 8
V = 1/3 * 3.14 * 16 * 8
V = 1/3 * 3.14 * 128
V = 42.6666666667
Therefore, the volume of the cone is approximately 42.67 cubic centimeters.