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Reika [66]
4 years ago
5

A weather balloon was filled with gas until its diameter was 5 ft. After reaching its highest altitude in the atmosphere, the ba

lloon burst, with a diameter of 28 ft. What is the difference in volume of the balloon when it burst compared to at launch?
Mathematics
1 answer:
Elenna [48]4 years ago
4 0

Answer:

Step-by-step explanation:

The balloon is spherical in shape. The formula for determining the volume of a sphere is expressed as

Volume = 4/3 × πr³

Where

At represents the radius of the sphere.

π is a constant whose value is 3.14

The diameter of the balloon before it was launched is 5 feet

Radius = diameter/2

r = 5/2 = 2.5

Therefore, volume at launch is

4/3 × 3.14 × 2.5³

= 65.42 ft³

When the balloon burst, the diameter is 28 ft

Radius = 28/2 = 14 ft

Therefore, volume when it burst is

4/3 × 3.14 × 14³

= 11488.2 ft³

The difference in volume of the balloon when it burst compared to at launch is

11488.2 - 65.42 = 11422.78 ft³

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A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with the peanuts to get a batch of mixed nut
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Answer:

18 pounds of cashews are needed.

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Given;

A manager bought 12 pounds of peanuts for $30.

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