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

Answer 1

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.