SOLUTION: If the surface area of a shere is increased by 44%,find the percentage increase in its diameter.

Question 970701: If the surface area of a shere is increased by 44%,find the percentage increase in its diameter.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Area = 4 pi *r^2
1.44 area=4 pi *R^2
Ratio of second to first
1.44= (R/r)^2, where R is the new radius.
1.44 r^2+ R^2
Take the square root of both sides
1.2 r=R
Diameter=2r=2.4, but it is still a 20% increase, since radius and diameter are linearly related.
Percentage of increase of diameter is 20%

RELATED QUESTIONS
The radius of a sphere is increased by 10%. Find the percentage increase in its surface... (answered by Alan3354)

Tim is going to paint a wooden shere that has a diameter of 12 inches.Find the surface... (answered by Alan3354)

The diameter of a sphere is increased by 3 times. By what factor does its volume... (answered by Alan3354,josgarithmetic)

if the length of each edge of a cube is increased by 70%, then the percentage increase in (answered by ikleyn)

If each side of a square be increased by 10% the percentage increase in area... (answered by Fombitz)

length of side of asquare is increased by 10%.find the percentage of increase in its... (answered by stanbon)

if the length of a rectangle is increased by 120%and its width is decreased by 20%,what... (answered by nerdybill)

Find the percentage decrease in the curved surface area of square of its diameter is... (answered by macston)

When the sides of a square are each increased by 2feet its area increased by 44 feet.... (answered by scott8148)