a water bottle has a height of 16 in and a radius of 4 inches what is the volume in cubic inches of the water bottle.use 3.14 for pi
The volume (V) of a cylinder is calculated by the formula:
V = π * r^2 * h
where:
- π is the mathematical constant pi (approximately 3.14)
- r is the radius of the cylinder
- h is the height of the cylinder
In this case, the radius (r) is 4 inches, and the height (h) is 16 inches.
Plugging these values into the formula, we can calculate the volume:
V = 3.14 * (4)^2 * 16
V = 3.14 * 16 * 16
V = 3.14 * 256
V = 804.64
Therefore, the volume of the water bottle is approximately 804.64 cubic inches.
find the volume in cubic inches of a cone with a radius of 13 in and a height of 72 in, round your answer to the nearest hundred use 3.14 for pi
The volume (V) of a cone is calculated by the formula:
V = (1/3) * π * r^2 * h
where:
- π is the mathematical constant pi (approximately 3.14)
- r is the radius of the cone
- h is the height of the cone
In this case, the radius (r) is 13 inches, and the height (h) is 72 inches.
Plugging these values into the formula, we can calculate the volume:
V = (1/3) * 3.14 * (13)^2 * 72
V = (1/3) * 3.14 * 169 * 72
V = (1/3) * 3.14 * 12168
V = 12769.04
Rounding the answer to the nearest hundred, the volume of the cone is approximately 12700 cubic inches.
are you sure?
Apologies for the mistake. Let's calculate the volume of the cone correctly using the given measurements.
The volume (V) of a cone is calculated by the formula:
V = (1/3) * π * r^2 * h
where:
- π is the mathematical constant pi (approximately 3.14)
- r is the radius of the cone
- h is the height of the cone
In this case, the radius (r) is 13 inches, and the height (h) is 72 inches.
Plugging these values into the formula, we can calculate the volume:
V = (1/3) * 3.14 * (13)^2 * 72
V = (1/3) * 3.14 * 169 * 72
V = (1/3) * 3.14 * 12168
V ≈ 12768.29
Rounding the answer to the nearest hundred, the volume of the cone is approximately 12700 cubic inches.
the diameter of a sphere
does not pass through the center of the sphere
the longest distance a sphere
is the distance from the center of the sphere to any point on the surface of the sphere
is half the length of the radius
I apologize for the confusion. You are correct. The diameter of a sphere does pass through the center of the sphere. I apologize for the incorrect information provided earlier.
The diameter of a sphere is a line segment that passes through the center of the sphere and has endpoints on the surface of the sphere. It is twice the length of the radius.
To calculate the diameter of a sphere, you can use the formula:
D = 2 * r
where:
- D is the diameter of the sphere
- r is the radius of the sphere
If you provide the radius of the sphere, I can help you calculate the diameter.