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

Question

asked Apr 12, 2020 189k views

2 Answers

Ztirom · Answer 1 · 2020-04-19T04:20:44+0000

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 =
$(1)/(3)\pi r^(2)h$

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 =
$((1)/(3))(\pi)(3in.)^(2)(12 in.)$

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

Volume =
$((1)/(3))(9 in.^(2))(12 in.)(\pi)$

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.