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melisa1 [442]
3 years ago
6

A bowling ball has a volume of 267.947 cubic inches. What is the radius of the bowling ball? I would really appreciate someone’s

help :))
Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

The famous formula for the volume of a sphere is

V = (4/3)π r³

where r is of course the radius of the sphere.   Solving for r,

r³ = V / ((4/3)π)

r = ∛( V / ((4/3)π) )

r = ∛( 267.947 / ((4/3)(3.14159))) = 3.99932

Answer: 4.00 (to two decimal places)

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Answer:  Alice has the prize

<u>Step-by-step explanation:</u>

\boxed{\begin{array}{c|c|c||l}\underline{Alice}&\underline{Bob}&\underline{Carol}&\underline{Prize}\\T&T&F&\text{Alice}\\T&F&F&\text{no possible answer}\\T&F&T&\text{no possible answer}\\F&T&T&\text{no possible answer}\\F&F&T&\text{no possible answer}\\F&T&F&\text{no possible answer}\end{array}}

Line 1:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

          Alice is true for all of them!

Line 2:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (F) ... either Alice or Bob

            <em>nobody satisfies all three statements.</em>

Line 3:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            <em>nobody satisfies all three statements.</em>

Line 4:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (T) ... Carol

            <em>nobody satisfies all three statements.</em>

<em />

Line 5:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            <em>nobody satisfies all three statements.</em>

<em />

Line 6:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

            <em>nobody satisfies all three statements.</em>

3 0
3 years ago
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