The answer should be 9 because that’s the distance between -7 and 2
<span>The formula for calculating the cone volume is:
</span>
![V = \frac{ \pi *r^2* h}{3}](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cfrac%7B%20%20%5Cpi%20%2Ar%5E2%2A%20h%7D%7B3%7D%20)
<span>
Data:
h (height) = 12 in
r (radius) = 9 in
Use: </span>
![\pi \approx 3.14](https://tex.z-dn.net/?f=%20%5Cpi%20%5Capprox%203.14)
Solving:
![V = \frac{ \pi *r^2* h}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%20%5Cpi%20%2Ar%5E2%2A%20h%7D%7B3%7D%20)
![V = \frac{ 3.14 *9^2* 12}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%203.14%20%2A9%5E2%2A%2012%7D%7B3%7D%20)
![V = \frac{ 3.14 *81* 12}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%203.14%20%2A81%2A%2012%7D%7B3%7D%20)
![V = \frac{3,052.08}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B3%2C052.08%7D%7B3%7D)
Answer:
Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)
Step-by-step explanation:
The volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
<h3>What is a cylinder and a square prism?</h3>
A square prism is simply a 3-dimensional shape figure with square bases and the other four faces are rectangular in shape.
The volume of a square prism is expressed as;
V = a²h
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Given the data in the question and image below.
For the square prism;
For the cylinder;
- Radius r = diameter/2 = 20mm/2 = 10mm
- Height h = 35mm
- Constant pi π = 3.14
Now, the volume of tthe remaining material once the hole has been drilled will be;
V = Volume of the square prism - volume of the cylinderical hole
V = ( a² × h ) - ( π × r² × h)
V = ( (20mm)² × 35mm ) - ( 3.14 × (10mm)² × 35mm)
V = 14000mm³ - 10990mm³
V = 3010mm³
Therefore, the volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
Learn more on volume of cylinder here: brainly.com/question/16788902
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Answer:
Part A: The first digit of the quotient would be the tens.
Part B: 23 boxes will be fillied.
Part C: 28 toy trains will be leftover.