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Svetllana [295]
3 years ago
10

Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,

Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0

Answer:

a:500 b:547,500 c:557,500

Step-by-step explanation:

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A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.
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Answer:

The approximate volume of rubber used to make the ball is 636.4 cm³ ⇒ 3rd answer

Step-by-step explanation:

The formula of the volume of a sphere is V = \frac{4}{3} π r³, where r is its radius

∵ The hollow ball is shaped a sphere

∵ The ball has a radius to the outside surface of 6 centimeters

∴ The outer radius = 6 centimeters

∵ The ball is made of rubber that is 2 centimeters thick

∴ The thickness of the rubber = 2 centimeters

- The difference between the outside radius and the inside

    radius is equal to the thickness of the rubber

∴ The inner radius = 6 - 2 = 4 centimeters

The volume of the rubber = the outer volume - the inner volume

Lets calculate the outer and inner volumes

∵ V = \frac{4}{3} π r³

∴ V(inner) = \frac{4}{3} (3.14)(4)³

∴ V(inner) = 267.95 cm³

∴ V(outer) = \frac{4}{3} (3.14)(6)³

∴ V(outer) = 904.32 cm³

- By using the rule above find the volume of the rubber

∵ The volume of the rubber = 904.32 - 267.95

∴ The volume of the rubber = 636.37 cm³

- Round it to the nearest tenth

∴ The volume of the rubber = 636.4 cm³

The approximate volume of rubber used to make the ball is 636.4 cm³

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