<h3>Given:</h3><h3>Large cone:</h3>
<h3>Small cone:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
- The volume of the frustum of the given cone.
<h3>Solution:</h3>
- Frustum is a part of a cone formed by cutting off the top by a parallel plane.

Let's solve!
First, let's find the volume of the smaller cone.
Substitute the values according to the
formula.


Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.

Next, let's find the volume of the bigger cone.
Substitute the values according to the formula.


Now, we can round off to the nearest hundredth.
The value in thousandths place is smaller than 5 so we won't have to round up.

Now, we can find the volume of the frustum.
We'll have to minus the volume of the smaller cone from the bigger cone.


<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>
If you mean the equation 1/5 (5x +12) =18 then your answer would be x=15.6 or in the exact form of 78/5
Explanation : Start off with distributive property 1/5•5x and 1/5 •12, your equation should end up with 1x +2.4 =18 continue by using the 2.4 and doing the opposite, you will have 1x+2.4-2.4=18-2.4, after calculation you will have 1x=15.6 ,you can finish there or you can divide the 15.6 by one witch is still 15.6 , therefore getting your answer that is x=15.6
8=4/7(7) + b
b=4
Y= 4/7 x + 4
[You might wanna check your answer, I might be wrong. Sorry if I’m wrong.]
First, we are going to find the common ratio of our geometric sequence using the formula:

. For our sequence, we can infer that

and

. So lets replace those values in our formula:


Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:

. We know that

; we also know for our previous calculation that

. So lets replace those values in our formula:

Finally, to find the 9th therm in our sequence, we just need to replace

with 9 in our explicit formula:



We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>