0
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 else can I help you with?
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 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.
What is the volume of a sphere with a surface area of 9π yd2?
Surface = 9*pi yd2 Therefore radius = 1.5 yards and so volume = 4.5pi yd3 or 14.137 yd3
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 ratio of surface area to volume for a sphere with following measurements surface area 588 And volume 1372?
To find the ratio of surface area to volume for the sphere, you divide the surface area by the volume. Given that the surface area is 588 and the volume is 1372, the ratio is ( \frac{588}{1372} \approx 0.428 ). Thus, the ratio of surface area to volume for the sphere is approximately 0.428.
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.
Which geometric shape has the lowest surface area to volume ratio?
A sphere has the lowest surface area to volume ratio of all geometric shapes. This is because the sphere is able to enclose the largest volume with the smallest surface area due to its symmetrical shape.
Why does a sphere have the lowest surface area to volume ratio?
A sphere has the lowest surface area to volume ratio compared to other shapes because it has the smallest surface area for a given volume. This is due to its symmetrical shape, which minimizes the surface area while maximizing the volume. The sphere's surface area is spread out evenly in all directions, making it more compact and efficient.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
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.
Summarize the relationship between surface area and volume as a cell grows?
A cell is roughly spherical in shape and the relationship between surface area and volume is therefore expressed by:-The volume of a sphere of radius R is (4/3)*Pi*R3.The surface area of a sphere of radius R is 4*Pi*R2The surface area to volume ratio is therefore 3/RAs the radius R gets bigger the ratio gets smaller.
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
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.
