8. volume of cylinder is pi*r^2*h
So V= pi * (radius)^2 * height =720* pi
we know circumference = 2 * pi * r
if we look at first equation. We can edit it like
pi * r * r * h
now we can say it kind of looks like circumference equation but missing 2 so we multiply both sides by 2
2 * pi * r * r * h = 2 * 720 * pi
We can take out the 2 * pi * r and put in circumference (C)
c * r * h = 1440 * pi
We we know h is 20 so
c * r * 20 = 1440 * pi
c * r = 72 * pi
we have to solve for r first so break circumference back up
2 * pi * r * r = 72 * pi
r * r = 36
r = 6
plug into circum equation
C = 2 * pi * 6
C = 12 * pi
10. I assume the cylinders fill uo the box and if radius is 1.5 then diameter is 3. There are 5 in a row some 3 * 5 = 15 box length.
2 in a column so 2 * 3 = 6 box width
the height is 5
So
l * h * w = V
6 * 5 * 15 =V
V = 450
Answer:
50% chance of it being red; a 13% chance of it being 6.
Step-by-step explanation:
50% because half the deck is red or black
13% because only 4 cards a 6 so 52÷4=13
Use substitution
Plug in 5x for y
5x = 2x - 15
Subtract 2x
3x = -15
Divide by 3
x = -5, y = -25
Solution: (-5, -25)
Answer:
The answer is J: 1/2
Step-by-step explanation:
The answer would be 1/2, or 50% because there are 4 tiles and 2 tiles are vowels. Hamda would have at least a 50% chance of picking it.