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Ksenya-84 [330]
3 years ago
15

The volume of a cone is 88 pi cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown belo

w.
V = one-third pi r squared h. Step 1: 88 pi = one-third pi r squared (8). Step 2: 88 pi = StartFraction 8 Over 3 EndFraction pi r squared. Step 3: StartFraction 8 Over 3 EndFraction (88) = r squared. Step 4: 234.7 = r squared. Step 5: 15.3 = r.

What is Fatima’s error?
In step 4, Fatima did not find the correct value of StartFraction 8 Over 3 EndFraction (88).
In step 2, Fatima should not have multiplied One-third and 8.
In step 3, Fatima did not multiply 88 by the reciprocal of StartFraction 8 Over 3 EndFraction.
In step 1, Fatima did not substitute the correct value for the height in the formula.
Mathematics
2 answers:
Mashutka [201]3 years ago
6 0

Answer: 10.00

Step-by-step explanation:

You had to multiply and divide and see what you get.

ELEN [110]3 years ago
4 0

Answer:

10.00

Step-by-step explanation:

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Using a proportional relationship, the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we have that:

  • The input variable is the number of tennis players.
  • The output variable is the number of soccer players.

From the first row of the table, the constant is given as follows:

k = 35/15 = 7/3.

Hence the relationship is:

y = 7/3x.

For the second row of the table, we have that x = 3, hence:

y = 7/3 x 3 = 7.

For the third row of the table, we have that y = 84, hence:

84 = 7/3x

x = 84 x 3/7

x = 36.

Then the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

More can be learned about proportional relationships at brainly.com/question/10424180

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