A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 21 inches. The scoop is filled with molten steel. The steel is then poured into a cylindrical storage tank with diameter 28 inches. How high will the molten steel rise?

Question

anonymous · Answer

volume of hemisphere = 2/3 π r^3 = 2/3 *22/7 *21 *21 *21 = 19404 inch^3

radar · Answer

You now have the volume of molten steel, now calculate how high it will be when  all poured into that cylinder.

anonymous · Answer

i got 19396

anonymous · Answer

volume of cylinder = π r^2h
Here volume has to be equal to the volume of the hemispherical scoop
so
19404 inch^3 = 22/7 * 28 cm * 28 cm * h
=> 19404 inch^3 = 2464 cm^2 * h
=> 19404 inch^3/2464 inch^2 = h
=> 7.88 inch = h

So the molten steel will rise 7.88 inch high

anonymous · Answer

@Hikari

you can check my calculations with a computer and find them correct.

U might have used π as 3.14.....

anonymous · Answer

pls click GOOD ANSWER button (  :))