A cylindrical paint can is 3 inches across the top and about 8 inches high. How many cubic inches of paint could it hold​ (Use 3.14 for pi as needed. Round to the nearest​ hundredth)?  

The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.

Given that the can is 3 inches across the top, the radius (r) would be half of that, which is 1.5 inches. The height (h) is given as 8 inches.

Plugging in the values:
V = π(1.5)^2(8)
V = π(2.25)(8)
V = 18π

Now, to find the approximate value, we can use 3.14 for π:
V ≈ 18(3.14)
V ≈ 56.52 cubic inches

Therefore, the cylindrical paint can could hold approximately 56.52 cubic inches of paint.