answersLogoWhite

0

Let V and A be the volume and area of a sphere with radius r, then

V = 4/3*pi*r3 and A = 4*pi*r2

so that V/A = r/3

The measure of the volume is r/3 times the measure of its surface area.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

ReneRene
Change my mind. I dare you.
Chat with Rene
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve

Add your answer:

Earn +20 pts
Q: How is the surface area of a sphere related to its volume?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

A sphere has a surface area of 324 pi square inches What is the volume?

A sphere with a surface area of 324pi cubic inches has a volume of: 3,054 cubic inches.


What is the volume of a shape with a surface area of ten cm?

depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.


Surface-area-to-volume ratio in nanoparticles?

Surface area to volume ratio in nanoparticles have a significant effect on the nanoparticles properties. Firstly, nanoparticles have a relative larger surface area when compared to the same volume of the material. For example, let us consider a sphere of radius r: The surface area of the sphere will be 4πr2 The volume of the sphere = 4/3(πr3) Therefore the surface area to the volume ratio will be 4πr2/{4/3(πr3)} = 3/r It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.


What is the ratio of surface area to volume for a sphere with the Surface area of 300m2 and a volume of 500 m3?

Well, first of all, that's no sphere.-- A sphere with surface area = 300 has volume = 488.6.-- A sphere needs surface area of 304.6 in order to have volume = 500.But this is just a ratio exercise, not a geometry problem, so we'll just use the numbersgiven in the question. It's just some sort of wacky humongous paramecium:Surface area = 300Volume = 500Ratio of (surface area)/(volume) = 300/500 = 0.6 .


What is the ratio of surface area to volume for a sphere with the following measurements surface area 300m2 volume 500m3?

0.6 is the surface area to volume ratio.