I have a true or false math statement, with questions?

Although the surface area of a sphere may be decreasing, the value of the volume will remain the same.





Is this statement true or false? And why?I have a true or false math statement, with questions?
Hi!





The formula for surface area is 4*(pi)*r^2. The formula for volume is (4/3)*(pi)*r^3.





If the surface area is decreasing, then r is decreasing. Since r is also a variable in volume, volume would decrease as well.





Therefore, the statement is false because a decrease in the radius of a sphere decreases both surface area and volume.





I hope this helps!I have a true or false math statement, with questions?
common to the formulae for area and volume is the factor 'r' : that is locked in . . .meaning if you decrease one side of the equation, so the other will decrease and so will the 'r' factor and thus also will the volume decrease . . see! See how easy it all is ! So easy ! Why did you not immediately see that !
The surface are and volume of a sphere do change at different rates, since SA=4pi(r)^2 and V=4/3pi(r)^3. However, since the only non-constant variable in both equations is r, the radius has to get smaller for either to shrink, and both would have to if the radius is getting smaller. So False.
false r is the only variable so it has to change for either the SA or V to change








also im pleasantly surprised how many intelligent answers ther are here considering a question involved rounding (plz round 499 ti nearest thousand), a lot of ppl said 1000. I KNEW THERE WERE SMART PPL HERE! you have all restored my faith in Y!A
The surface area of a sphere is: A = 4.pi.r^2


If A decreases then r must decrease.


The volume is: V = (4/3).pi.r^3


so if r decreases, V must decrease.


Statement is false.
False because if the surface area is decreasing, that means there's less room inside meaning that the volume is decreasing.
actually what do u want?if area decreases then radius decreases and so the volume decreases
though it is posible to go the other way with a cocave shape. Your statement is false