The volume of the larger ball bearing is 8 times the volume of the
smaller one
Step-by-step explanation:
All the spheres are similar, and there is a ratio between their radii ![\frac{r_{1}}{r_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Br_%7B1%7D%7D%7Br_%7B2%7D%7D)
So the ratio between their:
1. Diameters⇒
= ![\frac{r_{1}}{r_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Br_%7B1%7D%7D%7Br_%7B2%7D%7D)
2. Areas ⇒
= ![(\frac{r_{1}}{r_{2}})^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Br_%7B1%7D%7D%7Br_%7B2%7D%7D%29%5E%7B2%7D)
3. Volumes ⇒
= ![(\frac{r_{1}}{r_{2}})^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7Br_%7B1%7D%7D%7Br_%7B2%7D%7D%29%5E%7B3%7D)
∵ The radius of the larger ball bearing is twice the radius of the
smaller one
- That means the radius of the larger sphere is equal to the radius
of the smaller sphere multiplied by 2
∴
= ![\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%7D)
∵
= ![(\frac{r_{1}}{r_{2}})^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7Br_%7B1%7D%7D%7Br_%7B2%7D%7D%29%5E%7B3%7D)
∴
= ![(\frac{2}{1})^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B1%7D%29%5E%7B3%7D)
∴
= ![\frac{8}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B1%7D)
<em>The volume of the larger ball bearing is 8 times the volume of the </em>
<em>smaller one</em>
Learn more:
You can learn more about ratios in brainly.com/question/4302397
brainly.com/question/4713715
#LearnwithBrainly
Answer:
80 points
Step-by-step explanation:
There is a total of 400 possible points so you are going to want to find 20% of that 400 points. To find that 20% you have to multiply 20×400=8000 THEN you want to divide that by 100 ( because that is the total possible percent and you get 80.
The following statements are always true:
- X + Y is a whole number:
- X • Y is a whole number:
While the following statements are sometimes true
- X - Y is a whole number:
- W + Z is a whole number:
- Y + Z is a rational number:
- Y • W is a rational number:
- X % Z is a rational number:
<h3>How to determine whether the following statements are always, sometimes, or never true?</h3>
The given parameters are:
- Whole numbers = x and y
- Rational numbers = w and z
The sum and products of whole numbers are always whole numbers.
This means that, the following statements are always true:
X + Y is a whole number:
X • Y is a whole number:
While the following statements are sometimes true
X - Y is a whole number:
W + Z is a whole number:
Y + Z is a rational number:
Y • W is a rational number:
X % Z is a rational number:
Read more about rational numbers at:
brainly.com/question/27849436
#SPJ1
So, to solve this we have a Circular cylinder and half a Sphere.
Total Volume 402+134 = 536 ft³ <- Answer
Calclulations
Answer:
r = 4 in
h = 8 in
V = 402.124 in³
L = 201.062 in²
T = 50.2655 in²
B = 50.2655 in²
A = 301.593 in2
Agenda
r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.14159
<span>√ = square root
</span>
Formula cylinder:V = πr²h
The answer for the sphere
r = 4 ft
V = 268 ft/2=134 ft³
A = 201 ft²
C = 25.1 ft
Agenda
r = radius
V = volume
A = surface area
C = circumference
π<span> = pi = 3.14159</span>
<span>√ = square root</span>
Formula:
Volume of a sphere:V = (4/3)πr³