Question

The surface area of a spherical balloon is 175 cm2. If the length of the radius was six times as large, what would the surface area be?

Answer 1

first calculate radius from\[\large A=4\pi r^2\]

Answer 2

how would i get the radius?

Answer 3

surface area= 4*pi*r^2

radius would be 6*r,

so in our formula r^2, thus (6r)^2=36r^2, so multiply the given surface area by 36

Answer 4

so my answer should be 6300?

Answer 5

you have given with A=175
put it in the formula I have given.\[\large 175=4\pi r^2\]\[\large \frac{175}{4\pi}=r^2\]

Answer 6

calculate r from here.

Answer 7

by calculation you would get
\[\large r=\pm3.73cm\]but radius is the length. So length can never be negative. choose the +\[\large r=3.73cm\]Now you have got your radius.

Answer 8

Is it clear up till now?

Answer 9

@kkaila1

Answer 10

I have to go kkaila1

Bye. Tc :)