Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
Answer:
no it doesn't
Step-by-step explanation:
Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.
Hope this helps!! :D
To figure out the percentage you got correct, we need to set up fractional proportions.
We already have one fraction, 14/20.
Since we are looking for a percentage, we need to have a maximum total percentage that represents the total score.
100% is the maximum percentage for any total.
So we have our fractional proportions set;
14/20 : x/100
To solve for this, we need to cross multiply the numerator (top number) of one fraction by the denominator (bottom number) of the other fraction.
Let's try this!
14 • 100 = 1400
20 • x = 20x
Now that we have our products, set them as an equation.
20x = 1400.
To solve for x, we need to divide both sides by 20.
20x / 20 = x
1400 / 20 = 70.
You are left with:
x = 70.
Your answer is:
If you get 14/20 on a test, you would get 70% of the questions correct.
I hope this helps!
Answer:
8:14
Step-by-step explanation: