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Ratling [72]
3 years ago
8

A sphere has a diameter of 14 units. What is the volume of the sphere in cubic units? If a cylinder has the same radius as the s

phere and a height
of 14 units, what is the volume of the cylinder? Use 3.14 for pie

A). The volume of the sphere is about 1,077.02 cubic units, and the volume of the cylinder is about 718.01 cubic units.

B). The volume of the sphere is about 1,436.03 cubic units, and the volume of the cylinder is about 2.154.04 cubic units.

C). The volume of the sphere is about 1,436.03 cubic units, and the volume of the cylinder is about 957.35 cubic units.

D). The volume of the sphere is about 1,077.02 cubic units, and the volume of the cylinder is about 1,615.53 cubic units.
Mathematics
1 answer:
lesya692 [45]3 years ago
7 0

Answer:

B

Step-by-step explanation:

r = 14/2 = 7units

Volume of sphere=\frac{4}{3}*\pi*r^{3}\\\\=\frac{4}{3}*3.14*7*7*7\\\\=1436.03cubic units\\\\Volume of cylinder=\pi*r^{2}*h\\\\=3.14*7*7*14\\\\=2154.04 cubic units

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Answer:

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Step-by-step explanation:

In this geometry, all of the triangles are similar:

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Corresponding segments are proportional in similar triangles, so we have ...

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Filling in the numbers, we get

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Similarly, we can form proportions with the legs:

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and

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<em>Additional comment</em>

You may notice that each of the segments we're interested in is the root of a product involving segments of the hypotenuse. This "root of a product" is called the geometric mean. Here, the three geometric mean relations are ...

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Strictly speaking the geometric mean is the n-th root of the product of n items. Here, there are only 2 items, so it is the square root of their product.

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