You want to enlarge a sphere with 1-cm radius so as to double the ratio of surface area to volume. By what factor should you multiply the radius?
A) 2
B) 4
C) 1/4
D) 1/2

Question

Quizplus · Accepted Answer

The surface area of a sphere is proportional to the square of the radius (4πr²), and the volume is proportional to the cube of the radius (4/3πr³). The ratio of surface area to volume is inversely proportional to the radius (3/r). To double this ratio, you need to halve the radius, hence multiply by 1/2.

You Want to Enlarge a Sphere with 1-Cm Radius So