Question

Need Geometry help!

Answer 1

If a spherical bubble has a volume of 36π cm to the third power, calculate the surface area of the bubble

Answer 2

what do you need?

Answer 3

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

Surface Area "Sigma"
\[\sigma=4 \pi r^2\]
With the volume you calculate "r" and then you solve for sigma.

Answer 4

I'm not sure how to do that..

Answer 5

Do you know how to solve an equation?

Answer 6

Well yes but I have no idea what sigma is or what to plug into r.

Answer 7

Okay...sigma is the surface area and is this greek letter
\[\sigma\]
Now, the volume of an sphere is given by the equation i wrote above and you know the numerical value of that volume, that is 36pi
So you replace V for 36pi and calculate the value of r
Now replace the value of "r" in the surface area equation and paff, got it now?

Answer 8

Not really... This is so hard..

Answer 9

Are you familiarized with the equations that defines the volume and the surface area of a sphere (And the concept of surface area)?

Answer 10

no

Answer 11

Oh..that's a start xd
Okay...i hope you know what a sphere is
The volume of the sphere is "The space that it uses"
the surface area is the total area covered by the sphere if we extended it, okay?
Now, mathematics wizards said that the volume of a sphere "V" is given by the equation
\[V=\frac{ 4 }{ 3 } \pi r^3\]

And also said that when you do a magic trick to that you obtain the surface area "A", given by
\[A=4 \pi r^2\]

Now, they told you that the total volume of your bubble (that's a sphere) is 36cm^3
That means that you can replace the value of V in the equation of the wizards mathematicians and obtain
\[V=36=\frac{ 4 }{ 3 } \pi r^3\]
And then you can isolate r^3 and find the value of r

As you'll know "r" you can replace it in the second formula, that will give you the area.