Question

A paper popcorn cone measures 4 inches in diameter and is 9 inches high. What is the volume of popcorn that can be contained within this cone? Use 3.14 for pi. Round your answer to the nearest hundredth. 37.68 cubic inches 39.45 cubic inches 40.23 cubic inches 41.90 cubic inches

Answer 1

Hey!

So, we know that the formula to find the volume of a cone is $V=\frac{3.14* r^2h}{3}$
The radius is half the diameter, so in this case our radius would be 2. Let's plug in the values.
$V=\frac{3.14* 2^2\cdot \:9}{3}$
Simplify.
$V=12*3.14$
The thing we are left with is just a multiplication problem. Let's simplify it. Let's remember to also input the units since we are talking about the volume of a figure.
V≈37.68 in³

Instead of using the equal sign (=), we had to use the approximation sign (≈) since we are using a rounded version of pi ($\pi$)

Thanks!
-TetraFish

Answer 2

The formula for finding volume of a cone is (in this case),
V=(3.14)(r^2)(h/3)

With this formula in mind, you would simply substitute in.
V=(3.14)(2^2)(9/3)

You could work that out for yourself on your own, but to save you the time, it is 37.68 in. cubed.