A cylinder has a base dlameter of 14 in and a height of 10 in . What is its volume in cubic In, to the nearest tenths place?

To find the volume of a cylinder, you can use the formula V = πr²h, where r is the radius and h is the height. The diameter is 14 inches, which gives a radius of 7 inches (half of the diameter). Plug in the values: V = π(7 in)²(10 in) = π(49 in²)(10 in) = 490π in³. Approximately, V ≈ 1539.4 in³ when rounding to the nearest tenths place. Now you can impress your friends with your cylinder volume skills! Did you know that the volume formula for a cylinder was crucial for engineers in ancient times? They needed to calculate space for storage tanks, water wheels, and even aqueduct systems, proving that math and engineering have always gone hand in hand!