First we have to find the radius:
4*pi*radius2 = 64*pi
Divide both sides by 4*pi and then square root both sides to find the value of the radius:
radius = 4 cm
Volume of a sphere = 4/3*pi*radius3
Volume = 268.0825731 or 268 cm3 to the nearest cubic cm
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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.