Final answer:
To estimate the volume of a cone with rounded measurements (7 cm radius and 10 cm height), you use the formula V = (1/3)πr²h. The volume is approximately 516 cm³.
Step-by-step explanation:
The student asked for an estimate of the volume of a cone with a radius of 7.2 cm and a height of 9.6 cm, using rounded numbers to the nearest whole. To find the volume of a cone, the formula we use is V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height. After rounding the numbers, the radius becomes 7 cm and the height becomes 10 cm. Therefore, plugging these into the formula, we would have:
V = (1/3)π(7 cm)²(10 cm)
V = (1/3)π(49 cm²)(10 cm)
V = (1/3)π(490 cm³)
V = (1/3)(3.14)(490 cm³)
V ≈ 515.8 cm³
Thus, an estimated volume of the cone is approximately 516 cm³ after rounding to the nearest cubic centimeter.