Which conical container holds more water? Figures not drawn to scale.
cone 1 8cm by 4cm
cone 2 8cm by 6cm
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(1 point)
Answer: cone 1 or 2
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Volume of a cone: V = (1/3)πr^2h.
Assuming both cones have height 8 cm and radii 4 cm and 6 cm:
Cone 1: V1 = (1/3)π(4^2)(8) = (1/3)π(16)(8) = 128/3 · π cm^3.
Cone 2: V2 = (1/3)π(6^2)(8) = (1/3)π(36)(8) = 96 · π cm^3.
Since 96π > 128/3·π (96 > 42.67), cone 2 holds more water.
Answer: cone 2.
Assuming both cones have height 8 cm and radii 4 cm and 6 cm:
Cone 1: V1 = (1/3)π(4^2)(8) = (1/3)π(16)(8) = 128/3 · π cm^3.
Cone 2: V2 = (1/3)π(6^2)(8) = (1/3)π(36)(8) = 96 · π cm^3.
Since 96π > 128/3·π (96 > 42.67), cone 2 holds more water.
Answer: cone 2.
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