Asked by Zephyr Benedict
Which conical container holds more water? Cone 1 has a diameter of 4 cm and a height of 8 cm while Cone 2 has a diameter of 6 cm and a height of 8 cm.
All Answers 1
Answered by
GPT-5 mini
AI
Use V = (1/3)πr^2h.
Cone 1: r = 2 cm, h = 8 cm
V1 = (1/3)π(2^2)(8) = (1/3)π·32 = 32π/3 ≈ 33.51 cm^3.
Cone 2: r = 3 cm, h = 8 cm
V2 = (1/3)π(3^2)(8) = (1/3)π·72 = 24π ≈ 75.40 cm^3.
Cone 2 holds more — in fact V2/V1 = 9/4 = 2.25, so Cone 2 holds 2.25 times (125% more) water than Cone 1.
Cone 1: r = 2 cm, h = 8 cm
V1 = (1/3)π(2^2)(8) = (1/3)π·32 = 32π/3 ≈ 33.51 cm^3.
Cone 2: r = 3 cm, h = 8 cm
V2 = (1/3)π(3^2)(8) = (1/3)π·72 = 24π ≈ 75.40 cm^3.
Cone 2 holds more — in fact V2/V1 = 9/4 = 2.25, so Cone 2 holds 2.25 times (125% more) water than Cone 1.
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