The volume of a sphere is given by the equation V = 2
-$3/2, where S is the surface area of the
sphere. Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square
meters. Use 3.14 for T.
The volume is about
cubic meters.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

there are infinitely many solutions.