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Otrada [13]
3 years ago
13

Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume

of a sphere =4/3πr^3)
Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

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we know that

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so

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we know that

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so

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Step 2

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therefore

the answer is the option

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