3,877,226.886
that the answer
Answer:
Hey there!
Cone formula: hr^2/3
Plugging in the values, we get the volume is 301.59
Let me know if this helps :)
Answer:
96π
301.59
Step-by-step explanation:
The volume of a cone can be calculated using the following formula:
b is the base and h is the height. The base formula for a circle (area):
Insert this value into the formula:
Simplify the formula:
Now insert the known values:
Simplify:
The volume is 96π units³ or 301.59 units³.
:Done
The maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.
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:
8 - N = 10 + N
10 - N = 8 + N
Answer:
The sentence represents 10 - N = 8 + N
C is correct.
Step-by-step explanation:
Given: "The difference between ten and a number is the sum of eight and a number"
We are given an statement and need to write in expression.
Let the number be N
First we take half sentence.
"The difference between ten and a number"
Expression 1 ⇒ 10 - N
Next Half sentence.
"The sum of eight and a number"
Expression 2 ⇒ 8 + N
Expression 1 is equal to expression 2
Therefore, The equation is
10 - N = 8 + N
Hence, The sentence represents 10 - N = 8 + N