Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Round your answer to the nearest hundredth. (1 point)
To find the volume of a cylinder, you use the formula:
Volume (V) = π × radius² × height
The radius of the cylinder is half of the diameter, so for a diameter of 16 inches, the radius (r) is:
r = diameter / 2 = 16 inches / 2 = 8 inches
The height (h) of the cylinder is given as 7 inches. Plugging the radius and height into the formula for volume:
V = π × (8 inches)² × 7 inches
V = π × 64 square inches × 7 inches
Now calculate the volume:
V = 3.14159 × 64 × 7
V = 200.96 × 7
V = 1406.72 cubic inches
Rounded to the nearest hundredth, the volume of the cylinder is:
V ≈ 1406.72 cubic inches
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To find the volume of a cylinder, you can use the formula:
V = π * r^2 * h
Where V represents the volume, π represents the mathematical constant pi (approximately 3.14), r represents the radius of the cylinder, and h represents the height of the cylinder.
Given that the diameter is 16 inches, we can calculate the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2
= 16 inches / 2
= 8 inches
Now, we can substitute the values into the volume formula:
V = π * r^2 * h
= 3.14 * (8 inches)^2 * 7 inches
≈ 3.14 * 64 square inches * 7 inches
≈ 1409.92 cubic inches
Therefore, the volume of the cylinder is approximately 1409.92 cubic inches. Rounded to the nearest hundredth, the volume would be 1409.92 cubic inches.