Final answer:
The jumbo cone with a volume of 785.40 cm³ has a greater volume than the cylinder with a volume of 628.32 cm³, making it the choice for maximum ice cream volume.
Step-by-step explanation:
Comparing Ice Cream Cones and Cylinders
To determine which has the greater volume between a jumbo cone with a diameter of 10cm and a height of 15cm, and a cylinder with a diameter of 10cm and a height of 8cm, we will need to calculate the volume of each. Since they both have the same diameter, we will first calculate the radius, which is half of the diameter. Therefore, the radius (r) is 5cm for both shapes.
For the cylinder, the volume (V) is calculated using the formula:
V = πr²h
Substituting the values we get:
V = 3.142 × (5cm)² × 8cm = 628.32 cm³
For the cone, the volume is ⅓ of the volume of a cylinder with the same base and height:
V = ⅓ πr²h = ⅓ × 3.142 × (5cm)² × 15cm = 785.40 cm³
The jumbo cone has a greater volume than the cylinder and would be the choice for maximum volume.