56.3k views
4 votes
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

User Totooooo
by
5.9k points

2 Answers

1 vote

Answer:

its A

Explanation:

User VocoJax
by
5.9k points
2 votes

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.

User Cwarny
by
5.6k points