Use the diagram of the cylinder to answer the question. Use 3.14 for n and round to the nearest tenth.
8 in.
8 in.
4. Find the volume of the cylinder. (1 point)
O 1607.7 in.³
O 2,845.7 in.³
O 6,430.7 in.³
O 401.9 in.³
2,845.7 in.³
To find the volume of a cylinder, you can use the formula V = πr²h, where V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cylinder.
In this case, the radius is half of the diameter, so the radius is 8/2 = 4 inches. The height is given as 8 inches.
Substituting these values into the formula, we have V = 3.14*(4²)*8.
Simplifying, we get V = 3.14*16*8 = 401.9 in³.
Therefore, the volume of the cylinder is 401.9 in³.
To find the volume of the cylinder, we can use the formula: volume = π * radius^2 * height.
Given that the radius is 8 inches and the height is 8 inches, we can substitute these values into the formula to calculate the volume.
volume = 3.14 * 8^2 * 8
Simplifying the expression:
volume = 3.14 * 64 * 8
volume = 6.28 * 64 * 4
volume = 401.92
Rounding to the nearest tenth:
volume ≈ 401.9 in.³
Therefore, the volume of the cylinder is approximately 401.9 in.³.