Final answer:
To find the volume of a coffee can with a radius of 15.8 cm and a height of 63 cm, we use the cylinder volume formula V = πr²h. Substituting the given values and rounding to the nearest cubic centimeter, the volume is approximately 49,705 cm³.
Step-by-step explanation:
To calculate the volume of a coffee can with a circular cross section, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. Given that the radius is 15.8 cm and the height is 63 cm, we can calculate as follows:
- V = π × (15.8 cm)² × 63 cm
- V = 3.14159 × 250.64 cm² × 63 cm (using π approximated to 3.14159)
- V = 3.14159 × 250.64 cm² × 63 cm ≈ 49,705.21976 cm³
So, rounding to the nearest cubic centimeter, the volume of the coffee can is approximately 49,705 cm³.