Question

if the radius of sphere is tripled find the ratio of the A. volume of original sphere to new sphere B. surface area of original to new sphere

Answer 1

Here is your answer mate!

Answer 2

Answer:

if the radius of sphere is tripled, the ratio of the

A. Volume of original sphere to new sphere is 1:27

B.. surface area of original to new sphere is 1:9

Step-by-step explanation:

Let the radius of the original sphere is r.

The volume of the original sphere is:  4/3 π r^3

The Surface area of the original sphere is: 4 π r^2

Let the radius of the new sphere is 3 times the original one, so it is 3r

Hence the vhe volume of the new sphere is:  4/3 π (3r)^3 = (3^3) 4/3 π  r^3 = 27 x  4/3 π  r^3 = 27 times the volume of original sphere

The Surface area of the new sphere sphere is: 4 π (3r)^2 = 4 π (3)^2 (r)^2 = (3)^2 x 4 π  (r)^2 = 9 x 4 π  r^2 = 9 times the surface area of the original sphere.

Hence,

A. Volume of original sphere to new sphere is 1:27

B.. surface area of original to new sphere is 1:9