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Y_Kistochka [10]
3 years ago
13

Find the radius of a sphere with a volume of 972π cubic millimeters.

Mathematics
2 answers:
sesenic [268]3 years ago
8 0

Answer:

The radius is 9 mm

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3  where r is the radius

972 pi  = 4/3 pi r^3

Divide each side by pi

972 = 4/3 r^3

Multiply each side by 3/4 to isolate r^3

3/4 * 972 = 4/3 * 3/4 r^3

729 = r^3

Take the cube root of each side

(729) ^ (1/3) = (r^3) ^ (1/3)

9 = r

The radius is 9 mm

soldier1979 [14.2K]3 years ago
6 0

Answer:

9 mm

Step-by-step explanation:

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Answer: (A - B)' = {1, 2, 3, 5, 6, 7, 8, 9, 10,12, 13}

Explanation:

The roster form of a set is the elements listed inside brackets { }.

In this case it is easy to visualize A - B directly of the Venn diagram: when you subtract from A those elements that are also in B, the result is A - B = {4, 11, 14}.

Now take into account tha (A - B)' is the complement of (A - B), this is all the elements that are not in A - B.

Being A - B = {4, 11, 14} then to show (A - B)' you just have to list all the elements that are on the figure except 4, 11 and 14.

The result, in roster form, is (A - B)' = {1, 2, 3, 5, 6, 7, 8, 9, 10, 12, 13}
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3 years ago
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gulaghasi [49]

Answer:

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Step-by-step explanation:

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liubo4ka [24]
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3 years ago
(02.04 LC)
Georgia [21]

Answer:

x = - 1

Step-by-step explanation:

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Answer:

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