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Question
Submitted by zeinabm_2011 on Tue, 2012-01-17 20:35
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Initially, A yoga ball is...

Initially, A yoga ball is partially blown up and its surface area measured. Afterwards, it is filled completely and its...

Initially, A yoga ball is partially blown up and its surface area measured. Afterwards, it is filled completely and its surface area is found to be 1.60 times as big as it was recorded earlier. By what factor has its volume changed?

By what percentage has the radius changed?

Answer
Submitted by mathejoy on Tue, 2012-01-17 21:48
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xxx the initial radius be x m xxx xxx xxxxx radius xx x xx

xxxxxxxxxxxxxxxxxxxxxxxx

(R/r)^2=1.6

xxxxxxxxxxx xxxxxxx xxxxxxxx

xxxxx volume=(4/3)(\pi)(R^3)=(4/3)(\pi)(2.02386r^3)=2.02386(4/3)(\pi)(r^3)=2.02386(initial volume)

xxx volume has xx 2.02 xxxxx the original.

percentage change in xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

The xxxxxx has xxxxxxxxx xx 26.5%.


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