Volume of Cylinders Practice
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Question
Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
cubic inches
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is pi, r is the radius, and h is the height.
The diameter of the cylinder is given as 16 inches, so the radius will be half of that, which is 8 inches.
Using the formula, we can substitute the values:
V = 3.14 * (8)^2 * 7
Simplifying:
V = 3.14 * 64 * 7
V = 1409.28 cubic inches
Rounded to the nearest hundredth, the volume is 1409.28 cubic inches.
this is wrong
Apologies for the mistake. Let's calculate the correct answer.
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is pi, r is the radius, and h is the height.
The diameter of the cylinder is given as 16 inches, so the radius will be half of that, which is 8 inches.
Using the formula, we can substitute the values:
V = 3.14 * (8)^2 * 7
Simplifying:
V = 3.14 * 64 * 7
V = 1409.92 cubic inches
Rounded to the nearest hundredth, the volume is 1409.92 cubic inches.
still wrong
Apologies for the confusion. Let's correct the calculation.
To find the volume of a cylinder, you use the formula V = πr^2h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
The diameter of the cylinder is given as 16 inches, so the radius will be half of that, which is 8 inches.
Using the formula, we can substitute the values:
V = 3.14 * (8)^2 * 7
Simplifying:
V = 3.14 * 64 * 7
V = 1409.92 cubic inches
Rounding to the nearest hundredth, the volume is 1409.92 cubic inches.
it's not 1409.92 or 1409.28
Apologies for the repeated errors. Let's calculate the correct volume.
To find the volume of a cylinder, you use the formula V = πr^2h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
The diameter of the cylinder is given as 16 inches, so the radius is half of that, which is 8 inches.
Using the formula, we can substitute the values:
V = 3.14 * (8)^2 * 7
Simplifying:
V = 3.14 * 64 * 7
V = 1408.96 cubic inches
Rounding to the nearest hundredth, the volume is approximately 1408.96 cubic inches.
its still wrong
Apologies for the repeated mistakes. Let's calculate the volume again.
To find the volume of a cylinder, you use the formula V = πr^2h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
Given:
Diameter = 16 inches
Radius = Diameter / 2 = 16 / 2 = 8 inches
Height = 7 inches
Using the formula, we can substitute the values:
V = 3.14 * (8)^2 * 7
Simplifying:
V = 3.14 * 64 * 7
V = 1408.96 cubic inches
Rounded to the nearest hundredth, the volume is approximately 1408.96 cubic inches.