Question
An ice cream cone has a height of 6 inches and a diameter of 2.5 inches. If it’s only filled to the top of the cone, about how much ice cream can the cone hold?
9.8 cu. in.
28.5 cu. in.
29.4 cu. in.
39.3 cu. in.
9.8 cu. in.
28.5 cu. in.
29.4 cu. in.
39.3 cu. in.
Answers
GPT 3.5
The volume of a cone can be calculated using the formula V = 1/3 πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
Given:
Height (h) = 6 inches
Diameter = 2.5 inches (Radius, r = 2.5/2 = 1.25 inches)
V = 1/3 π(1.25)^2(6)
V = 1/3 π(1.5625)(6)
V = 1/3 π(9.375)
V = 3.125 π
V ≈ 9.82 cubic inches
Therefore, the cone can hold approximately 9.8 cubic inches of ice cream when filled to the top.
The closest option is 9.8 cu. in.
Given:
Height (h) = 6 inches
Diameter = 2.5 inches (Radius, r = 2.5/2 = 1.25 inches)
V = 1/3 π(1.25)^2(6)
V = 1/3 π(1.5625)(6)
V = 1/3 π(9.375)
V = 3.125 π
V ≈ 9.82 cubic inches
Therefore, the cone can hold approximately 9.8 cubic inches of ice cream when filled to the top.
The closest option is 9.8 cu. in.