Question

Please Help Me!!!

A cone's base has a circumference of 75.36 cm and a height of 18 cm.

What is the volume of the cone?

Use 3.14 for pi, and round your answer to the nearest hundredth if necessary.

Answer 1

First, lets start with the formula for the volume of a cone

$\frac{1}{3} (\pi \times {r}^{2})h$

Then lets find the diameter so we can get the radius...

Since we have circumference, all we need to do is use this formula-

$c \div \pi$

C being circumference, the PI being the 3.14, we plug it in to the formula as the number we have to get the diameter...

${75.36} \div 3.14$

And it comes out to...

24.

Now we need to divide it by two to get the radius, and we come up with 12.

Now that we have our radius, we can finally plug in all of the numbers into our original formula...

$\frac{1}{3} (3.14 \times \: {12}^{2} ) \times 18$

The answer of the entire problem turns out to be... Drum roll please...

2712.96 cubic centimeters.