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Verizon [17]
3 years ago
10

What is the volume of this sphere? use 3.14 for pi and round to the nearest hundredth when necessary.

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

The volume of the sphere is 900 cm³

Step-by-step explanation:

  • Step 1: Given the diameter of the ball = 12 cm. Find radius.

Radius = diameter/2 = 12/2 = 6cm

  • Use the formula for volume of a sphere to find the volume.

Volume of the ball = 4/3 πr³

                              = 4/3 × 3.14 × (6)³

                              = 904.32 cm³ ≈ 900 cm³ (nearest hundredth)

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Step-by-step explanation:

Here is the completed question:

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School. Which of the following could be the numbers of left-handed and right-handed students at West Junior High?

A. Left-handed: 42 Right-handed: 483

B. Left-handed: 28 Right-handed: 378

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Since it's direct proportion, we have to calculate the constant of proportionality which will simply be:

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A. Left-handed: 42 Right-handed: 483

Constant = 483/42 = 11.5

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B. Left-handed: 28 Right-handed: 378

Constant = 378/28 = 13.5

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C. Left-handed: 48 Right-handed: 504

Constant = 504/48 = 10.5

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D. Left-handed: 56 Right-handed: 560

Constant = 560/56 = 10

Incorrect

E. Left-handed: 30 Right-handed: 315

Constant = 315/30 = 10.5

Correct

Therefore, the correct options are C and E.

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