What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Round your answer to the nearest hundredth.(1 point)
The volume of a cone can be calculated using the formula:
V = (1/3)πr^2h
Where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.
In this case, the diameter of the cone is given as 6 inches. The radius can be calculated by dividing the diameter by 2:
r = 6 inches / 2 = 3 inches
The height of the cone is given as 7 inches.
Substituting these values into the formula:
V = (1/3)π(3 inches)^2(7 inches)
V = (1/3)π(9 square inches)(7 inches)
V = (1/3)π(63 cubic inches)
Using a calculator to approximate π to 3.14159 and calculating, we get:
V ≈ (1/3)(3.14159)(63)
V ≈ 65.97 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 66.00 cubic inches.