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2 years ago

What the answer to this question?

Mathematics

2 answers:

ivolga24 [154]2 years ago

8 0

1/27 I hope this helps!!!

Mila [183]2 years ago

7 0

1/27 or 0.03703703704

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What would be the volume of (a) air (b) plastic in a ball with 25cm diameter made from plastic 2mm thick?

morpeh [17]

Answer:

Part a) The volume of the air is $V=7,794.78\ cm^{3}$

Part b) The volume of the plastic is $V=386.45\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

step 1

Find the volume of the complete ball (air +plastic)

we have

$r=25/2=12.5\ cm$ ------> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (12.5)^{3}$

$V=8,181.23\ cm^{3}$

step 2

Find the volume of the air

we have that

The plastic is 2 mm thick

Convert to cm

2 mm=2/10=0.2 cm

The radius of the interior of the ball is

$r=12.5-0.2=12.3\ cm$

substitute

$V=\frac{4}{3}\pi (12.3)^{3}$

$V=7,794.78\ cm^{3}$ -----> this is the volume of the air (interior of the ball)

step 3

Find the volume of the plastic

we know that

The volume of the plastic is equal to the volume of the complete ball minus the volume of the air

$8,181.23\ cm^{3}-7,794.78\ cm^{3}=386.45\ cm^{3}$

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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