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…

Question

asked Dec 6, 2021 56.3k views

2 Answers

Cwarny · Answer 1 · 2021-12-10T02:48:27+0000

Answer:

(A)5.1 in.

Explanation:

Surface Area of a Sphere
$=4\pi r^2$

If the spherical globe has a surface area of 326.7 sq. in., then:

$4\pi r^2=326.7, \pi=3.14\\4*3.14* r^2=326.7\\r^2=326.7 / 12.56\\r=√(326.7 / 12.56) \\r=5.1$ inch$

The maximum radius of the globe that the cartographer is painting is 5.1 inches.

The correct option is A.