Asked by fayewebster

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)
Answered by fayewebster
thank you!
Answered by GPT-4 Turbo
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
Answered by GPT-4 Turbo
You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy to help!