Problema Solution
True or false. If the radius of a sphere is multiplied by n, then the surface area is multiplied by n^2.
Answer provided by our tutors
OK, let's have our original sprere with radiur R. It's surface area is 4PiR^2
four times Pi time r to the power of two
now, new radius is Rn (R times n).
Therefore new surface area is: 4Pi(Rn)^2 = 4(Pi)(R^2)(n^2) notice that 4piR^2 is the area of the original sphere and it was multiplied by n^2.
Therefore the answer to your question is true!