Question

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

Answer 1

To find the volume of a cone, we can use the formula:

V = (1/3)πr^2h

Where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base of the cone, and h is the height of the cone.

In this case, the radius (r) is given as 3 inches and the height (h) is given as 7 inches.

Substituting these values into the formula:

V = (1/3) × (3.14) × (3^2) × 7
= (1/3) × (3.14) × 9 × 7
= 3.14 × 9 × 7 / 3
≈ 197.74 cubic inches

Rounded to the nearest hundredth, the volume of coffee the container can hold is approximately 197.74 cubic inches.