Question

Crystal was told by her mom she could get one scoop of candy. There are two scoops and both scoops are shaped like cones. Given the dimensions below which cone should Crystal use if she wants to get the greatest amount of candy?

cone A: 30 cm, 15 cm
cone B: 15 cm, 30 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which cone will hold the greatest amount of candy, we can calculate the volume of each cone using the formula for the volume of a cone: V = 1/3 * π * r^2 * h, where r is the radius and h is the height.

For cone A:
r = 15 cm / 2 = 7.5 cm
h = 30 cm
V = 1/3 * π * (7.5 cm)^2 * 30 cm
V = 1/3 * π * 56.25 cm^2 * 30 cm
V = 562.5π cm^3

For cone B:
r = 30 cm / 2 = 15 cm
h = 15 cm
V = 1/3 * π * (15 cm)^2 * 15 cm
V = 1/3 * π * 225 cm^2 * 15 cm
V = 1125π cm^3

Therefore, cone B will hold the greatest amount of candy. Crystal should use cone B if she wants to get the greatest amount of candy.