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Ugo [173]
2 years ago
7

Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) fou

r-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)
Mathematics
1 answer:
oee [108]2 years ago
6 0

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

<h3>Volume of composite object</h3>

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

<u>For the outer sphere:</u>

V = 4/3π(20)³

<u>For the inner sphere:</u>

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

Learn more on volume of sphere here: brainly.com/question/10171109

#SPJ4

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Decide whether each table could represent a proportional relationship. If the
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Answer:

Step-by-step explanation:

If given tables in the picture show the proportional relationship,

Number of wheels (w) ∝ Number of buses (b)

w ∝ b

w = kb

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          8                                           48                               \frac{48}{8}=6

         10                                           60                               \frac{60}{10}=6

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Here, proportionality constant is 6.

Similarly, If number of wheels (w) ∝ Number of train cars (t)

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              20                                        184                           \frac{184}{20}=9.2

              30                                        264                           \frac{264}{30}=8.8

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              50                                        424                           \frac{424}{50}=8.48

Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.

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