<PRE><B>Question 853337</B>
The content of a sphere with a volume of 324 cm^3 is poured into a cylindrical vessel of the same radius as that of the sphere. If the cylindrical vessel is only 3/4 filled, find the height of the cylindrical vessel. Use pi = 3.14


Volume of sphere = 4/3 pi r^3= 324

r^3= 3*324/(4 pi)

r^3 = 243/pi

r^3=77.39
r=4.26

Volume of fill = pi r^2 h

324 = pi *r^2 *h

324/(pi* r^2) =h

324/(3.14*(4.26)^2)=h

h=5.68 cm







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