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.
Round your answer to the nearest hundredth.(1 point)
To round the answer to the nearest hundredth, we look at the digit in the thousandth place. Since it is a 1, which is less than 5, we round down. Therefore, the volume of the cylinder to the nearest hundredth is 1,501.00 cubic inches.
To find the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
Where:
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the cylinder (half of the diameter)
- h is the height of the cylinder
In this case, the diameter is given as 16 inches, so the radius (r) is half of that, which is 16/2 = 8 inches. The height (h) is given as 7 inches.
Now we can substitute these values into the formula and calculate the volume:
Volume = π * (8 inches)^2 * 7 inches
Simplifying further:
Volume = π * 64 square inches * 7 inches
Volume ≈ 3.14159 * 64 * 7 cubic inches
Using a calculator:
Volume ≈ 1409.57 cubic inches
Rounding to the nearest hundredth:
Volume ≈ 1409.57 cubic inches
Therefore, the volume of the cylinder is approximately 1409.57 cubic inches.
The radius of the cylinder can be found by dividing the diameter by 2: 16 inches / 2 = 8 inches
The formula for the volume of a cylinder is: V = πr^2h
Plugging in the values: V = π(8 inches)^2(7 inches)
Calculating the volume: V = 3.14 * 64 square inches * 7 inches
V ≈ 1,501.76 cubic inches
To the nearest hundredth, the volume of the cylinder is 1,501.76 cubic inches.