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:

(A)5.1 in.

Step-by-step explanation:

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

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

$4\pi r^2=326.7, \pi=3.14\\4*3.14* r^2=326.7\\r^2=326.7 \div 12.56\\r=\sqrt{326.7 \div 12.56} \\r=5.1 inch$

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

The correct option is A.