Question

A cartographer is painting a spherical globe whose surface is 326.7 sq. in. What is the maximum radius of the globe that the cartographer is painting? Use 3.14 for π.
5.1 in
4.3 in
26.0 in
13.1 in

Answer 1

Answer:

$S =4\pi r^2$

And since we know the surface area 326.7 in^2 we can solve for the value of r like this:

$r =\sqrt{\frac{S}{4 \pi}}$

And replacing we got:

$r =\sqrt{\frac{326.7 in^2}{4 (3.14)}}= 5.10 in$

And the best answer would be:

5.1 in

Step-by-step explanation:

For this case we need to use the formula for the surface area of a sphere given by:

$S =4\pi r^2$

And since we know the surface area 326.7 in^2 we can solve for the value of r like this:

$r =\sqrt{\frac{S}{4 \pi}}$

And replacing we got:

$r =\sqrt{\frac{326.7 in^2}{4 (3.14)}}= 5.10 in$

And the best answer would be:

5.1 in