Answer:
113.1 cubic inches
Step-by-step explanation:
Plug in the numbers into the formula and solve.
Answer: 36π in.³
Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone.
Volume = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Since we're given that the radius of the cone is 3 inches an the height of the cone is 12 inches, we can plug this information into our formula.
Volume = [tex](\frac{1}{3})(\pi)(3in.)^{2}(12 in.)[/tex]
Start by simplifying the exponent and moving π to the end.
Volume = [tex](\frac{1}{3})(9 in.^{2})(12 in.)(\pi)[/tex]
Next, notice that 3 in 1/3 and 12 cross cancel to 1 and 4.
Volume = [tex](1)(9in.^{2})(4in.)(\pi)[/tex]
Volume = 36π in.³
Therefore, the volume of the cone is 36π in.³.
