Final answer:
The volume of the cylindrical sugar container with a diameter of 8 inches and a height of 10 inches is approximately 502.4 cubic inches, calculated using the formula for the volume of a cylinder, V = πr²h.
Step-by-step explanation:
Calculating the Volume of a Cylinder
To find the volume of the cylinder that is used to hold sugar, we can use the formula V = πr²h, where V is the volume, r is the radius of the cylinder, and h is the height of the cylinder. Since the diameter is given as 8 inches, the radius would be half of the diameter, which is 4 inches. Plugging the values into the formula:
V = π × (4 inches)² × 10 inche
= π × 16 inches² × 10 inches
= 160π inches³
Using 3.14 as an approximation for π, the volume can be calculated as:
V = 160 × 3.14 inches³
= 502.4 inches³
Hence, the measurement closest to the volume of the storage container in cubic inches is 502.4 inches³.