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krok68 [10]
3 years ago
6

Find the volume of the sphere

Mathematics
1 answer:
madam [21]3 years ago
6 0

Answer:

sphere volume = 3052.1 in³

Step-by-step explanation:

sphere volume = 4/3πr³ = 4/3(3.14)(9³) = 3052.1 in³

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The smallest value of p+q is 11

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=======================================================

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Let's factor 180 in such a way that exactly one factor is a perfect square.

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Those factorizations then lead to the following

\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\

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The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

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