Final answer:
The question pertains to using geometric formulas to calculate volumes and surface areas of three-dimensional shapes, specifically cylinders and spheres, with given dimensions and rounding off the results to two decimal places.
Step-by-step explanation:
The question asks to calculate the volume of a cylinder and to perform other related calculations involving volume and radius, using a given value for the constant Pi (3.14) and rounding results to the nearest hundredth. To calculate the volume of a cylinder, the formula V = πr²h (where V is volume, r is radius, and h is height) is used. This would involve calculating the volume of the cylinder that has a radius of 1.5 inches and a height of 9 inches.
For example, to calculate the volume of a sphere, the formula V = (4/3) πr³ is used. As for the surface area calculation of a sphere, the formula A = 4 πr² is applicable, which gives the surface area when the radius of the object is known.
Additional related problems may include calculating the radius of a coffee mug base on its volume and the volume capacity of different containers such as gas tanks and trash compactors. All these calculations are rooted in geometric formulas for volumes and surface areas of shapes like cylinders, spheres, and rectangular solids.