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Talja [164]
3 years ago
6

Is Noah's work correct? Explain. Yes, Noah's calculations are correct. No, Noah did not simplify correctly. No, Noah used the di

ameter instead of the radius in the calculations. No, Noah did not use the correct formula for volume of a sphere.
Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0

Answer:

No, Noah used the diameter instead of the radius in the calculations.

V = 91.13π

Step-by-step explanation:

Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.

V = πr3

V = π(9)3

V = π(729)

V = 972π cubic units

Is Noah’s work correct

Volume of a sphere, V = πr³

radius, r = diameter / 2

Diameter = 9 units

r = 9 / 2

= 4.5 units

Volume of a sphere, V = πr³

= π × 4.5³

= π × 91.125

= 91.125π

Approximately 91.13π

V = 91.13π

No, Noah used the diameter instead of the radius in the calculations.

WINSTONCH [101]3 years ago
3 0

Answer:

no, he used radius instead of diameter

Step-by-step explanation:

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<u>Pre-Algebra</u>

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Step-by-step explanation:

<u>Step 1: Identify</u>

Leg <em>a</em> = <em>x</em>

Leg <em>b</em> = 5

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Answer:

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Step-by-step explanation:

Since repetition isn't allowed, there would be 11 choices for the first donut, (11 - 1) = 10 choices for the second donut, and (11 - 2) = 9 choices for the third donut. If the order in which donuts are placed in the bag matters, there would be 11 \times 10 \times 9 unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type 3 \times 2 \times 1 = 6 times.

For example, if a bag includes donut of type x, y, and z, the count 11 \times 10 \times 9 would include the following 3 \times 2 \times 1 arrangements:

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Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count 11 \times 10 \times 9 by 3 \times 2 \times 1 = 6 to find the actual number of donut combinations:

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