Respuesta :
Answer:
904.32
Step-by-step explanation:
Certainly, I can help you with that.
The volume of a cylinder can be found using the following formula:
Volume of cylinder = π (radius²) * height
where:
π (pi) is a mathematical constant approximately equal to 3.14
radius (r) is the distance from the center of the circular base to the edge
height (h) is the vertical distance between the top and bottom bases
We are given the diameter (d) of the box, which is 12 inches, and the height (h) is 8 inches. However, we need the radius to find the volume.
Finding the radius:
The radius is half the diameter:
radius (r) = diameter (d) / 2
radius (r) = 12 inches / 2
radius (r) = 6 inches
Calculating the volume:
Now that we have all the necessary values, let's plug them into the formula and round the answer to two decimal places:
Volume = π (radius²) * height
Volume ≈ 3.14 * (6 inches²) * 8 inches
Volume ≈ 3.14 * 36 square inches * 8 inches
Volume ≈ 904.32 cubic inches (rounded to two decimal places)
Therefore, the volume of the gift box is approximately 904.32 cubic inches
