SOLUTION: The radius of a basketball is 4.1 times that of a baseball. How many times larger is the surface area of the basketball. Please explain.

Question 828727: The radius of a basketball is 4.1 times that of a baseball. How many times larger is the surface area of the basketball. Please explain.
Found 2 solutions by LinnW, Alan3354:
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
surface area of sphere =
Assume the baseball has a radius of 1 unit.
The basketball has a radius of 4.1 units.
So the ratio of surface areas is

cancels out

So the surface area of the basketball is 16.81 times larger.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The radius of a basketball is 4.1 times that of a baseball. How many times larger is the surface area of the basketball.
--------------
SA is a function of the square of the radius.

4.1^2 = 16.81 times as larger
= 15.81 times larger (NOT A TYPO)
------------
"times larger" and times as large are not the same thing.
1 times larger does not mean the same size.
=================
PS "10 times smaller" is gibberish, makes no sense.
1 times smaller (or closer, nearer) is zero (0).
RELATED QUESTIONS
The surface are of a basketball is 900/pi square inches. Find the radius r of the... (answered by Fombitz,checkley77,stanbon)
the surface of a basketball is 576π cm². How far does this basketball travel if it... (answered by mananth,MathTherapy,ikleyn)
determine the radius of a basketball whose volume is... (answered by Alan3354)
A basketball has a circumference of 25.12 cm. What is the area of the basketball? (answered by Alan3354,MathLover1,MathTherapy)
If the radius of one sphere if 6 times longer than the radius of a second sphere, how... (answered by Alan3354)
a playground occupied 1/5 of an empty field for a basketball and baseball areas. the... (answered by Cromlix)
the area of larger circle A is 16 times greater than smaller circle B. The radius of... (answered by Alan3354)
a basketball has surface area of 1810 cm^3 find the radius and volum of air in... (answered by richard1234,Alan3354)
The radius of a spherical balloon is four times that of another balloon. If the surface... (answered by Alan3354)