Question

Find the volume of a cone with a. Height of 12 in and a base radius of 3 in

Answer 1

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 = $\frac{1}{3}\pi r^{2}h$

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 = $(\frac{1}{3})(\pi)(3in.)^{2}(12 in.)$

Start by simplifying the exponent and moving π to the end.

Volume = $(\frac{1}{3})(9 in.^{2})(12 in.)(\pi)$

Next, notice that 3 in 1/3 and 12 cross cancel to 1 and 4.

Volume = $(1)(9in.^{2})(4in.)(\pi)$

Volume = 36π in.³

Therefore, the volume of the cone is 36π in.³.

Answer 2

Answer:

113.1 cubic inches

Step-by-step explanation:

Plug in the numbers into the formula and solve.