1) Calculate the area 2) Calculate the volume 3) Divide the area by the volume to get the ratio
Not necessarily. Having the same volume does not mean having the same surface area. As an example, if you were to take a sphere with volume 4/3*pi*r^3, and a suface area of 4*pi*r^2, and compare it to a cube with sides 4/3, pi, and 4^3, you would find that they had a different surface area, but the same volume. Let the radius of the sphere be 2, that is r = 2. In this case the surface are of the sphere is about 50, and the surface are of the cube is about 80. So a sphere and a cube, both with a volume of about 33.51 (4/3 * pi * 8), have different surface areas.
For the question to have any meaning, the volume should be in cubic metres, not metres. The surface area of a sphere of radius r is 4*pi*r*r and its volume is 4/3*pi*r*r*r. Use the second equation to find the value of the radius, r and then use that value in the first equation to calculate the surface area.
Volume of a sphere = 4/3*pi*radius3 Volume = 4/3*pi*23 = 33.51032164 or about 33.5 cubic mm
Find the volume for the whole sphere (4/3 x pi x radius cubed) then divide by two.
Surface area of a sphere = 4*pi*radius squared
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.
The surface area of every sphere is (4 pi) times (the radius squared).Knowing that, you can find the surface area of not only the one you'reasking about right now, but of every sphere that ever was, is, or will be !
Given a sphere of radius r, Surface area = 4{pi}r2 Volume = (4/3){pi}r3
SA = ~314.159 m2
Volume of a sphere = 4/3*pi*radius3 Surface area of a sphere = 4*pi*radius2
First we have to find the radius: 4*pi*radius2 = 78.5 square yards Divide both sides by 4*pi: radius2 = 6.246831516 Square root both sides: radius = 2.499366223 yards Volume of a sphere = 4/3*pi*radius3 Volume = 65.40008284 cubic yards
1) Calculate the area 2) Calculate the volume 3) Divide the area by the volume to get the ratio
No, because the volume of a sphere = 4/3*pi*radius3 in cubic units But the surface area of a sphere = 4*pi*radius2 in square units
first you must find the equations for the surface area and for the volume of a sphere. I believe the volume is 4/3 *pi *r^3, making the surface area 4*pi*r^2 the ratio is the one number over the other so: (4*pi*r^2)/(4/3*pi*r^3) = 3/r
The formula for the surface area of a sphere is 4πr² and the formula for the volume is (4/3)πr³, where r is the radius of the sphere. Setting 4πr² equal to 588 and (4/3)πr³ equal to 1372, you can solve for the radius by equating the two expressions and taking the cube root of the result. Once you have the radius, you can calculate the surface area using the formula and divide it by the volume to find the ratio.
Yes. Second contribution: Surface area of sphere = XXXVI = 36 square inches. When all the working out is done, which the previous contributor has failed to do, the answer is: Volume of the sphere = 20.311 cubic inches correct to three decimal places. This was achieved by rearranging the formula (4*pi*r2) for finding the surface area of the sphere in order to find its radius. The radius was then used in the formula (4/3*pi*r3) for finding the volume of the sphere.