answersLogoWhite

0


Best Answer

First find the radius of the sphere using the volume formula, substitute volume for V & solve for r:

V = (4/3)*PI*r3

(3000*PI*m3 ) * (3/4) * (1/PI) = r3

r3 = 2250 m3

r = CUBE ROOT (2250 m3)

r = 13.104 m

The surface area can now be calculated using the following formula:

A = 4*PI*r2

A = 4*PI*(13.104 m)2

A = 686.83*PI m2

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the surface area of a sphere with a volume of 3000 pi m3?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Algebra

How do you find the surface area of a sphere when its volume is 523.5987756 cubic cm?

Use the formula for volume to solve for the radius of the sphere and then plug that radius into the formula for the surface area of a sphere.


What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?

surface area of sphere = 4πR2 volume of sphere = 4/3πR3 surface area of cube = 6s2 volume of cube = s3 since volumes are equal then s3 = 4/3πR3 s = [cube root (4/3π)] R surface area ofcube = 6 (cube root( 4/3π) times R)2 surface area sphere = 4πR2= 12.56 R2 surface area cube = 15.44 R2 So a sphere has less surface area than a cube with the same volume. Where R= radius of the sphere s=length of side of the cube Sorry,calculation above is now corrected - same equations, earlier made math error - cube has more surface area as you can see


What is the volume of a sphere with a surface area of 1296 pi inch squared?

surface area sphere = 4πr² → r = √(surface_area/4π) = √(1296π in²/4π) = √(324 in²) = 18 in Volume sphere = 4/3 πr³ = 4/3 π (18 in)³ = 7776π in³


What happens to the surface area of a sphere if its radius is doubled?

If the radius of a sphere is doubled, the surface area increases by (2)2 = 4 times, and the volume increases by (2)3 = 8 times.


If the radius of a sphere is tripled what is going to happen to surface area?

If the radius of a sphere is tripled, the surface area increases by (3)2 = 9 times, and the volume increases by (3)3 = 27 times.

Related questions

What is the surface area of a sphere with a volume of 3500pi?

The surface area of a sphere with a volume of 3500pi is: 2,391 square units.


What is the surface area of a sphere with a volume of 3000?

Formula for volume of a sphere is 4 x pi x r cubed Formula for surface area is 4 x pi x r squared Therefore the radius = the cubic root of 3000/(4pi) = 6.20..... So the surface area = 6.20.... squared x pi x 4 =483.60(2dp) HTH


How do you find the surface area of a sphere when its volume is 523.5987756 cubic cm?

Use the formula for volume to solve for the radius of the sphere and then plug that radius into the formula for the surface area of a sphere.


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

0.6 m-1 is the ratio of surface area to volume for a sphere.


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.


What is the ratio of surface area to volume for a sphere with surface area and volume m?

If they have the same radius then it is: 3 to 2


Why does a sphere have the lowest surface area to volume ratio?

because the surface area is spread out over the volume of mass


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.


What is the volume and surface area of a sphere with a radius of 3 meters?

Volume = 113.097 m3 Surface area = 113.097 m2