True or False??
Although the surface area of a sphere may be decreasing, the value of the volume will remain the same.
True right?
False
Thanks!
False. The value of the volume will not remain the same if the surface area of a sphere is decreasing. To understand why, let's break it down:
The surface area of a sphere is given by the formula A = 4πr², where "r" is the radius of the sphere. If the surface area is decreasing, it means that the radius of the sphere is also decreasing.
On the other hand, the volume of a sphere is given by the formula V = (4/3)πr³. Notice that the volume of a sphere depends on the cube of the radius. Therefore, if the radius decreases, the volume will also decrease.
So, in conclusion, as the surface area of a sphere decreases, the volume of the sphere also decreases. Therefore, the statement "the value of the volume will remain the same" is false.