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Rama09 [41]
4 years ago
11

The diameter of a sphere is 16 in. What is the sphere's volume? Round to the nearest tenth, if necessary. A) 971.7 in3 B) 1072.3

in3 C) 1137.4 in3 D) 2144.7 in3
Mathematics
1 answer:
statuscvo [17]4 years ago
3 0
Volume of sphere = 4/3πr³

r is radius.

Radius = diameter/2 = 16/2 = 8

Volume = 4/3(3.14)(8)³
Volume = 2143.57

Rounded to nearest tenth would be 2144.7 in³

The answer is D.

Hope this helps :)
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Answer:

To know if Nicholas is correct

4(540π) inches³ ≥ 2304π inches³

Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.  

Step-by-step explanation:

The question wants you to look for the volume of the cylindrical bucket and the spherical bucket and know if 4 times the volume of the cylindrical bucket will fill the spherical tank.

volume of a cylinder = πr²h

where

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volume of the cylinder bucket = πr²h

volume of the cylinder bucket= π × 6² × 15

volume of the cylinder bucket = π × 36 × 15

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volume of the spherical storage container

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volume = 4/3 × π × 1728

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To know if Nicholas is correct 4(540π) inches³ ≥ 2304π inches³

Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.  

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

To find the inverse of a function, you switch the x and y values and solve for y. (keep in mind that f(x) is just another way of writing y)

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