The volume of the composite solid with a cylindrical shape, given a radius of 3 inches and a height of 11 inches, is approximately 311.0 cubic inches.
To find the volume (V) of the composite solid with a cylindrical shape, you can use the formula V = πr²h. Given that the radius (r) is 3 inches and the height (h) is 11 inches, follow these steps:
Substitute the known values into the formula:
V = π(3 in)² * 11 in
Evaluate the expression:
V ≈ 99π in³
So, the volume of the composite solid is approximately 99π cubic inches. To round to the nearest tenth, you can use the approximate value of π as 3.14:
V ≈ 99 * 3.14 ≈ 310.86 in³
Rounded to the nearest tenth, the volume is approximately 311.0 in³. Therefore, the answer is that the volume of the composite solid is approximately 311.0 in³.