The volume of a sphere is 523.33 ft cubed. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.

Guest Feb 10, 2020

#1**+1 **

*The volume of a sphere is 523.33 ft cubed. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.*

The formula is V = (4/3) π r^{3}

Plug in known values 523**.**33 = (4/3) • 3**.**14 • r^{3}

Do a little arithmetic 523**.**33 = 4**.**187 • r^{3}

Divide both sides by 4**.**187 128**.**047 = r^{3}

We know that 5 cubed is 125, so the cube root of 128**.**047 will be slightly larger than 5.

To get the exact cube root,

I'll have to use a calculator ..... and the answer is ..... ~~r = 5.04~~ see below

When I put 5**.**04 back into the formula, the answer came out high. This would be the effect of rounding that I did along the way. When I work it on the calculator with __no__ rounding, then r^{3} = 124**.**999.... that's close enough to 125 to say the radius is 5, therefore **r = 5**.

_{.}

Guest Feb 10, 2020

edited by
Guest
Feb 10, 2020

#1**+1 **

Best Answer

*The volume of a sphere is 523.33 ft cubed. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.*

The formula is V = (4/3) π r^{3}

Plug in known values 523**.**33 = (4/3) • 3**.**14 • r^{3}

Do a little arithmetic 523**.**33 = 4**.**187 • r^{3}

Divide both sides by 4**.**187 128**.**047 = r^{3}

We know that 5 cubed is 125, so the cube root of 128**.**047 will be slightly larger than 5.

To get the exact cube root,

I'll have to use a calculator ..... and the answer is ..... ~~r = 5.04~~ see below

When I put 5**.**04 back into the formula, the answer came out high. This would be the effect of rounding that I did along the way. When I work it on the calculator with __no__ rounding, then r^{3} = 124**.**999.... that's close enough to 125 to say the radius is 5, therefore **r = 5**.

_{.}

Guest Feb 10, 2020

edited by
Guest
Feb 10, 2020