What is the volume $v$ $v$ of a sphere of radius $r$ $r$ ?

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What is the volume $v$ $v$ of a sphere of radius $r$ $r$ ?

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Answer 1 · 2018-03-16T10:10:45

$V = \frac{4}{3} π r^{3}$ $V=4/3pir^3$

Answer 2 · 2018-03-16T10:36:39

$v = \frac{4}{3} π r^{3}$ $v = 4/3 pir^3$

Explanation:

The surface area of a sphere of radius $r$ $r$ is $4 π r^{2}$ $4pi r^2$

Imagine dissecting a sphere into a large number of slender pyramids, with apices at the centre and (slightly rounded) bases tesselating the surface. As you use more pyramids, the bases get flatter.

The volume of each pyramid is $\frac{1}{3} \times base \times height$ $1/3 xx "base" xx "height"$

So the total volume of all the pyramids is:

$v = \sum \frac{1}{3} \times base \times height = \frac{r}{3} \sum base = \frac{r}{3} \cdot 4 π r^{2} = \frac{4}{3} π r^{3}$ $v = sum 1/3 xx "base" xx "height" = r/3 sum "base" = r/3 * 4pir^2 = 4/3 pir^3$

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What is the volume $v$ $v$ of a sphere of radius $r$ $r$ ?

2 Answers

Explanation:

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Science

Math

Humanities

... and beyond

What is the volume vv of a sphere of radius rr?

2 Answers

Explanation:

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Impact of this question

What is the volume $v$ $v$ of a sphere of radius $r$ $r$ ?