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Lilit [14]
3 years ago
12

A volcano in the approximate shape of a cone has a diameter of 16 km and a height of 1.95 km. Which estimate best approximates t

he volume of the volcano? Use 3.14 for pi and round to nearest whole number.
Mathematics
1 answer:
masha68 [24]3 years ago
7 0
To find the approximate volume of the volcano, you will use the formula for finding the volume of a cone.

V = 1/3 x pi x r^2 x h
     1/3 x 3.14 x 8^2 x 1.95
V = 130.624

The approximate volume of the volcano is 131 cubic kilometers.
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Answer and Step-by-step explanation:

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First, lets distribute the -2 to the 3x and 1.

18x - 6x - 2 = 5x - 16

Now, we combine like terms.

12x - 2 = 5x - 16

Next, we add 2 to each side.

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Now, we subtract 5x from both sides.

7x = -14

Finally, we divide by 7 on both sides.

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  Statements:                             Reasons:

  18x - 2(3x + 1) = 5x - 16            Given

  18x - 6x - 2 = 5x - 16                Distributive Property of Equality

  12x - 2 = 5x - 16                       Combine like terms

  12x = 5x -14                              Addition Property of Equality

  7x = -14                                     Subtraction Property of Equality

  x = -2                                        Division Property of Equality

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