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21 December, 19:47

The cylinder below has a volume of 785, and the cone has a volume of 314. Which explains which figure has the greater height?

The cylinder has a greater height because the bases are the same, but the cylinder has a greater volume.

The cylinder has a greater height because the volume of the cylinder is greater than twice the volume of the cone.

The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.

The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 4 times the volume of the cone.

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  1. 21 December, 22:34
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    Given that both the cylinder have the same base area of 78.5 ft², to evaluate which one has the greatest height we use the formula:

    V = (base area) * (height)

    height of the cylinder with volume of 785 will be:

    785=78.5h

    thus

    h=785/78.5

    h=10 ft

    Height of the cone with volume of 314 ft³ will be:

    314=78.5h

    thus

    h=4

    this implies that the cylinder has larger volume compared to the cone.

    Answer:

    The cylinder has a greater height because the volume of the cylinder is greater than twice the volume of the cone.
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