Final answer:
The volume of the cylindrical container with a diameter of 20 inches and a height of 15 inches for powdered laundry detergent is approximately 4,712 cubic inches. This calculation is based on the formula for the volume of a cylinder (V = πr²h).
Step-by-step explanation:
The subject of the question concerns the geometry and specifically volume calculations for a cylinder. The formula to calculate the volume of a cylinder is V = πr²h where r is the radius of the base, h is the height, and V is the volume. By substituting the given diameter (which is twice the radius) of 20 inches (so the radius r is 10) and the height h of 15 inches into the formula, the volume V turns out to be approximately 4,712 cubic inches (in.³). Thus, the correct answer is C. 4,712 in.³.
Calculations:
Radius, r = Diameter/2 = 20/2 = 10 inches
Height, h = 15 inches
So, volume, V = πr²h = π*(10)²*(15) = 4,712 in.³ (rounded to the nearest cubic unit)
Learn more about Volume of a Cylinder