Suppose the height of a sugar cone is 5 inches and the largest diameter (at the top of the cone) is 2 inches. If a cone is completely filled

Question

Suppose the height of a sugar cone is 5 inches and the largest diameter (at the top of the cone) is 2 inches. If a cone is completely filled and then topped with a perfectly hemisphere-shaped scoop, what is the total volume in cubic inches of the ice cream needed?

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Jezebel 6 months 2021-07-30T00:00:14+00:00 1 Answers 7 views 0

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    2021-07-30T00:01:59+00:00

    Answer:

    V≈11.99π

    Step-by-step explanation:

    1/3hπr^2 = volume of a cone

    (4/3πr^3)/2  = volume of a hemi sphere

    Volume of the cone

    1/3(5)π(2)^2

    1/3(5)π(4)

    1/3(20)π

    Volume of the cone is ≈ 6.66π

    Volume of the hemi sphere

    (4/3π(2)^3)/2

    (4/3(8)π)/2

    (10.66π)/2

    volume of the hemi sphere is ≈ 5.33π

    5.33π + 6.66π  =11.99π

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