Question

A coffee maker has a cone-shaped container to hold the coffee grounds. The radius of the container is 3 inches and the height is 7 inches. What is the volume, in cubic inches, of coffee grounds the container can hold? Round your answer to the nearest hundredth and use 3.14 for π.

Answer 1

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height of the cone. Substituting the given values, V = (1/3)(3.14)(3^2)(7) = (1/3)(3.14)(9)(7) = (1/3)(3.14)(63) = (3.14)(21) = 65.94 cubic inches. Rounding to the nearest hundredth, the volume of coffee grounds the container can hold is 65.94 cubic inches. Answer: \boxed{65.94}.