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nikdorinn [45]
3 years ago
14

A cylindrical basket has a volume of 15 cubic feet. If the height of the basket is 1.5 feet, what is the area of the base of the

basket?
Round to the nearest tenth if necessary.

No label is required.
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

10 ft²

Step-by-step explanation:

Recall that the volume of a uniform cylinder may be defined by the formula:

Volume = Base Area x Height

In our case we are given

Volume = 15 ft³ and Base Area = 1.5 ft

Substituting these known values into the formula gives:

Volume = Base Area x Height

15 = Base Area x 1.5

Base Area = 15 / 1.5

Base Area = 10 ft²

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Answer:

  • <em><u>1. There are infinite 8's</u></em>
  • <em><u>2. The estimate is 130.89</u></em>
  • <em><u>3. The difference is 0.01</u></em>

<em><u /></em>

Explanation:

There are countless, or infinite, 8's in the answer because the result is a periodic decimal:

        \dfrac{5890}{45}=130.8888 . . .

The notation used for the periodic decimal numbers is an arc over the number that is repeated. In this case, it would be an arc over the first 8.

I will use a bar just to show how it is, but instead of a bar it should be an arc:

          \dfrac{5890}{45}=130.\overline 8

The <em>estimation</em> or approximation to <em>two decimal places</em> requires to drop the 8's since the third one and increase the second 8 to 9 (because the first decimal dropped is greater than or equal to 5).

Thus the estimated value would be 13.89.

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