PLEASE HELP!!Jack bought an automatic water bottle feeder for his cat. A diagram of the bottle is shown below. What is the maximum amount of water that the bottle can hold?
Answers
The maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.
What is a cone?
A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.
To find the maximum amount of water that the bottle can hold, we need to calculate the volumes of the cylinder and the cone and add them together.
The volume of the cylinder:
V_cylinder = πr²h
where r is the radius (half of the diameter) of the base, and h is the height of the cylinder.
The radius of the cylinder base is 6/2 = 3 inches, and the height of the cylinder is 8.5 inches, so:
V_cylinder = π(3)²(8.5)
V_cylinder ≈ 226.1947 cubic inches
Volume of the cone:
V_cone = (1/3)πr²h
where r is the radius of the base of the cone, and h is the height of the cone.
The radius of the base of the cone is also 3 inches, and the height of the cone can be found by subtracting the height of the cylinder from the total height of the bottle:
h_cone = total height - height of cylinder = 12.5 - 8.5 = 4 inches
So:
V_cone = (1/3)π(3)²(4)
V_cone ≈ 37.6991 cubic inches
Total volume:
V_total = V_cylinder + V_cone
V_total ≈ 226.1947 + 37.6991
V_total ≈ 263.8938 cubic inches
Therefore, the maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.
To learn more about the cone;
#SPJ3
Answer:
my best guess even though no answers i would say bout 12
Step-by-step explanation:
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If a rectangle has a length of 12 and width of 8 then its area is 96. This rectangle has an area of 96. Therefore it has a length of 12 and a width of 8. Valid or invalid
3x-2y=9
y=2x-7
Answers
3x-2(2x-7)=9
3x-4x+14=9
-1x=-5
x=5
next solve for y
y=2x-7
y=2(5)-7
y=10-7
y=3
And now we have x=5, and y=3.
3x - 2y = 9
3x - [2(2x-7)]= 9
3x - (4x - 14) = 9
3x - 4x + 14 = 9
-x + 14 = 9
-x = -5
x = 5
y = 2x - 7
y = 2(5) - 7
y = 10 - 7
y = 3
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What is the value of c?
[Blank] units
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Answer:
The answer to your question is letter A
Step-by-step explanation:
Data
x² - 6x + y² - 6y = -9
Process
1.- Find the center
x² - 6x + ( )² + y² - 6y + ( )² = -9
x² - 6x + (3)² + y² - 6y + (3)² = -9 + 9 + 9
(x - 3)² + (y - 3)² = 9
Center = (3, 3)
radius = 3
See the graph below
2.- From the previous information and the graph, we conclude that the equation intercepts the y-axis in (0,3)
Answer:
it is a
Step-by-step explanation:
its just a
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i think its the second graph
hope i helped
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Answer:
30,000 milliliters
Step-by-step explanation:
There are 15 2-liter bottles, so you must get the total number of liters by multiplying 15 and 2 to get 30. Then, because there are 1,000 milliliters per liter, you multiply 30 by 1,000 to get 30,000 milliliters total.