Write An Equation

**magentarita** · November 29th 2008, 09:20 PM

The volume of any spherical balloon can be found by using the formula V = (4/3) (pi)(r^3).

Write an equation for r in terms of V and pi.

**masters** · November 30th 2008, 11:53 AM

Originally Posted by magentarita

The volume of any spherical balloon can be found by using the formula V = (4/3) (pi)(r^3).

Write an equation for r in terms of V and pi.

Hello again,

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

Multiply both sides by 3

$3V=4\pi r^3$

Divide by $4 \pi$

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

Take cube root of both sides and use symmetric property of equality

$r=\sqrt[3]{\frac{3V}{4 \pi}}$

**magentarita** · November 30th 2008, 09:16 PM

Originally Posted by masters

Hello again,

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

Multiply both sides by 3

$3V=4\pi r^3$

Divide by $4 \pi$

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

Take cube root of both sides and use reflexive property of equality

$r=\sqrt[3]{\frac{3V}{4 \pi}}$

Well-done as usual.

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