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7 September, 00:13

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

Step 1: 88π = 1/3 πr² (8)

Step 2: 88π = 8/3 πr²

Step 3: 8/3 (88) = r²

Step 4: 234.7 = r²

Step 5: 15.3 = r

What is Fatima's error?

- In step 4, Fatima did not find the correct value of 8/3 (88).

- In step 2, Fatima should not have multiplied 1/3 and 8.

- In step 3, Fatima did not multiply 88 by the reciprocal of 8/3

- In step 1, Fatima did not substitute the correct value for the height in the formula.

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Answers (1)
  1. 7 September, 00:18
    0
    To evaluate the radius of the cone we proceed as follows:

    V=1/3 πr²h

    plugging in the values, v=88π, h=8 ft

    step 1

    88π1/3πr² (8)

    step 2

    88π=8/3πr²

    step 3

    divide both sides by π

    88=8/3r²

    multiply both sides by 3 / (8)

    88 (3/8) = r²

    step 4

    simplify

    33=r²

    step 5

    get the square root

    r=√33

    Thus the mistake that Fatima made was:

    In step 3, Fatima did not multiply 88 by the reciprocal of 8/3
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