SOLUTION: The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the cube of its radius r. Find the perc

Question 560114: The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the cube of its radius r. Find the percentage increase in v when s increases by 25%.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the cube of its radius r. Find the percentage increase in v when s increases by 25%.
-----------------
A 25% increase --> 1.25 times the area
Change in radius =
Change in volume = =~ Vol*1.3975
=~ 39.75% increase in volume

RELATED QUESTIONS
Can someone help me with this problem please? The surface area of a sphere is directly (answered by kev82)

The surface area of a sphere is directly proportional to the square of its radius.A... (answered by Alan3354)

Is the volume of a sphere and its radius directly... (answered by ikleyn)

The volume of a sphere is numerically equal to twice its surface area. What is the radius (answered by Alan3354,Fombitz)

For what radius is the volume of a sphere equal to the surface area of the... (answered by richard1234)

Suppose that the volume of a sphere is numerically equal to twice the surface area of the (answered by Earlsdon)

Assume that the volume of a sphere is numerically equal to twice its surface area Find... (answered by srinivas.g)

What is the radius of a sphere when its surface area is 113 square... (answered by Greenfinch)

The surface area of a sphere is 3600 pi square inches. If v represents the volume of the... (answered by Theo)