The radius of one sphere is twice as great as the radius of a second sphere.
Find the ratio of their surface areas.
4π(2r)^2 / 4πr^2 = 4
the square of the radius ratio
Find the surface area of an orange with a 3'' radius.
The formula is above. Plug in r=3.
We will assume a smooth, rather than a dimpled, surface :-)
To find the ratio of the surface areas of the two spheres, let's denote the radius of the second sphere as "r" and the radius of the first sphere as "2r" (since it is twice as great).
The formula for the surface area of a sphere is given by:
Surface Area = 4πr^2
Let's calculate the surface areas of the two spheres:
Surface Area of the second sphere = 4πr^2
Surface Area of the first sphere = 4π(2r)^2 = 4π(4r^2) = 16πr^2
Now we can find the ratio of the surface areas by dividing the surface area of the first sphere by the surface area of the second sphere:
Ratio of Surface Areas = (Surface Area of the first sphere) / (Surface Area of the second sphere)
= (16πr^2) / (4πr^2)
= 16/4
= 4/1
Therefore, the ratio of the surface areas of the two spheres is 4:1.