A cylinder has a base dlameter of 14 in and a height of 10 in . What is its volume in cublc 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 of the cylinder is given as 14 inches, so the radius r is half of that, which is 7 inches. Now, substituting the values, V = π(7 in)²(10 in) = π(49 in²)(10 in) = 490π in³. Calculating that gives you approximately 1539.4 in³ when rounded to the nearest tenths place. Math can be like magic! Imagine you're at a cylindrical carnival booth with a giant soda cup. Understanding how volume works can help you choose the perfect-sized cup without overflowing your drink—making sure you savor every fizzy sip!