Question

The volume, V, of a sphere in terms of its radius, r, is given by , V(r)=4/3(pie)r^3. Express r as a function of V, and find the radius of a sphere with volume of 150 cubic feet. Round your answer for the radius to two decimal places.
r(V)=

A sphere with volume 150 cubic feet has radius
_________ feet.​

Answer 1

Step-by-step explanation:

If

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

then we can solve for r as

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

If the volume of the sphere is 150 ft^3, then the radius is

$r = \sqrt[3]{\dfrac{3(150\:\text{ft}^3)}{4\pi}} = 3.30\:\text{ft}$

Answer 2

Answer:

3.3 is the radius hope it helps