To find the final volume, we will need to subtract the volume of the hole from the total initial volume of the cylinder.

The volume of a cylinder is given by the product of the base area times the height: .

Find the initial volume using the given base area and height.

Next, find the volume of the hole that was drilled. The base area of this cylinder can be calculated from the radius of the hole. Remember that the height of the hole is only half the height of the block.

Finally, subtract the volume of the hole from the total initial volume.

The equation for the volume of a cylinder is V = Ah, where A is the area of the base and h is the height.

Thus, the volume can also be expressed as V = πr²h.

The diameter is 13 inches, so the radius is 13/2 = 6.5 inches.

Now we can easily calculate the volume:

V = 6.5²π * 27.5 = 1161.88π in³

Volume of cylinder = π * (base radius)² x height = π * (base diameter / 2 )² x height

Volume Cylinder 1 = π * (3 / 2 )² x 9 = π * (1.5 )² x 9 =  π * 20.25

Volume Cylinder 2 = π * (4 / 2 )² x 9 = π * (2 )² x 9 =  π * 36

Total Volume =  π * 20.25 + π * 36

Volume of Cylinder 3 = π * (6 / 2 )² x H = π * (3 )² x H = π * 9 x H

Set Total Volume equal to the Volume of Cylinder 3 and solve for H

π * 20.25 + π * 36 = π * 9 x H

20.25 + 36 = 9 x H

H = (20.25 + 36) / 9 = 6.25”

The volume of a cubic box is given by (side length)³. Thus, the volume of the larger box is (4x)³ = 64x³, while the volume of the smaller box is x³. Divide the volume of the larger box by that of the smaller box, (64x³)/(x³) = 64.

Determine the volume of both cubes and then subtract the smaller from the larger.  The large cube volume is 9” * 9” * 9” = 729 in³ and the small cube is 3” * 3” * 3” = 27 in³.  The difference is 702 in³.

A cube that has three times as long sides is 3x3x3=27 times bigger than the original. Therefore, the answer is 5x27= 135.

Using S as the side length in the original cube, the original is s*s*s. Doubling one side and tripling the other gives 2s*2s*2s for a new volume formula for 8s*s*s, showing that the new volume is 8x greater than the original.

Cubes have 6 faces. If 2 are red, then 4 must be green. We are told that the total area of the green faces is 36 square inches, so we divide the total area of the green faces by the number of green faces (which is 4) to get the area of each green face: 36/4 = 9 square inches. Since each of the 6 faces of a cube have the same size, we know that each edge of the cube is √9 = 3 inches. Therefore the volume of the cube is 3 in x 3 in x 3 in = 27 cubic inches.

The volume of the box is 50 * 20 * 30 cm = 30,000 cm³.

1cm³ = 1mL, 30,000 cm³ = 30,000mL = 30 L.

Because the volume of the box is only 30 L, 5 L of the 35 L will not fit into the box.

She will stack 360 bales in 3 hours. One row requires 15 bales. 360 divided by 15 is 24.