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3 years ago

What is the volume of a sphere having a diameter of 6 cm?

Mathematics

2 answers:

leonid [27]3 years ago

4 0

Answer:

113.1

Step-by-step explanation:

Volume of sphere = $\frac{4}{3}$ × π × r²

Volume of sphere = $\frac{4}{3}$ × π × 3²

Volume of sphere = $\frac{4}{3}$ × π × 9

Volume of sphere = $\frac{4}{3}$ × 9 π

Volume of sphere = 113.1

Jlenok [28]3 years ago

3 0

Answer:

$V=113.1cm^3$

Step-by-step explanation:

The formula to calculate the volume of a sphere is:

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

Where r is the radius of the sphere.

In this case we do not know the radius of the sphere, but we know the diameter.

By definition the diameter of a sphere is equal to twice the radius. This is:

$d = 2r$

$r = \frac{d}{2}$

In this case d=6 cm

$r = \frac{6}{2}$

$r = 3\ cm$

Finally

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

$V=36\pi\ cm^3$

$V=113.1cm^3$

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