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Lynna [10]
2 years ago
11

What is the volume of a sphere with a diameter of 3.2 m, rounded to the nearest tenth

Mathematics
1 answer:
frez [133]2 years ago
4 0

Answer:

Volume of a sphere = 17.164 m³ (Approx)

Step-by-step explanation:

Given:

Diameter of a sphere = 3.2 m

Radius of a sphere = Diameter / 2 = 3.2 / 2 = 1.6 m

Find:

Volume of a sphere = ?

Computation:

Volume\ of\ a\ sphere =\frac{4}{3}\pi \times r^3 \\\\Volume\ of\ a\ sphere =\frac{4}{3}\times \frac{22}{7}  \times (1.6)^3 \\\\Volume\ of\ a\ sphere =\frac{4}{3}\times \frac{22}{7}  \times 4.096\\\\Volume\ of\ a\ sphere =17.164

Volume of a sphere = 17.164 m³ (Approx)

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Answer:  r = C/(2pi)

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=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

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in which we can write it like r = \frac{C}{2\pi}

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

-----------------

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

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So the radius would be roughly 100 feet.

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3 years ago
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NikAS [45]

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