Final answer:
The composite figure consists of a cylinder, cone, and sphere. Their volumes are calculated using the formulas πr²h for the cylinder, ⅓πr²h for the cone, and 4/3πr³ for the sphere. The total volume is the sum of these individual volumes.
The correct answer is option b) Cylinder, cone, sphere
Step-by-step explanation:
The composite figure in question consists of three parts: a cylinder, a cone, and a sphere. To find the total volume of the figure, we must calculate the volume of each individual part and then sum them up.
Calculating Volume
The volume of the cylinder is given by the formula: V = πr²h. For this cylinder, with a radius r of 0.75 cm and a height h of 5.25 cm, the volume is calculated as follows: V = 3.142 × (0.75 cm)² × 5.25 cm = 9.278 cm³.
The volume of a cone is ⅓ of the formula for the volume of a cylinder, so the formula is V = ⅓πr²h. You would use the radius and the height of the cone for this calculation.
The volume of a sphere is given by the formula V = 4/3πr³. Using the sphere's radius, you can calculate its volume.
The total volume of the composite figure is the sum of the volumes of the cylinder, cone, and sphere.