Volume of a Cone and Pyramid Calculate the volume of the cone. Calculate the volume of the frustum. 9 ππ 3π The volumes of the cone and cylinder are equal to each other. Write an expression for the height of the cone in terms of π₯. π₯ 10π 4π₯ β 4 ππ 7π 12π 2π₯ Calculate the volume of the cone. 20 ππ 11 π Calculate the volume of the square based pyramid. www.MissBsResources.com Volume of a Cone and Pyramid Answers Calculate the volume of the cone. 7π 9 ππ 12π π × 42 × 9 π= 3 π = 150.8ππ3 (1 ππ) Calculate the volume of the frustum. π × 32 × 5 ππ = = 15π 3 3π π × 102 × 12 ππΏ = = 400π 3 π = ππΏ β ππ = 400π β 15π = 385π = 1209.5π3 (1ππ) 10π β 4 ππ The volumes of the cone and cylinder are equal to each other. Write an expression for the height of the cone in terms of π₯. 1 π₯ π = π 2π₯ 2 β 3 4ππ₯ 2 β 4π₯ = 3 11 π 2 6 × 11 3 π = 132ππ3 π= Calculate the volume of the cone. 20 ππ Calculate the volume of the square based pyramid. π = 252 β 202 π = 225 π = 15ππ π × 152 × 20 π= 3 = 1500π = 4712.4ππ3 (1ππ) 2π₯ β΄ 4ππ₯ 2 β = 4π₯ 3 π 3 4ππ₯ 2 β = 12π₯ 3 π 12π₯ 3 π β= 4ππ₯ 2 π = ππ www.MissBsResources.com π = ππ₯ 2 × 4π₯ = 4π₯ 3 π
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