49. A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 21 inches. The scoop
Is used to transfer molten steel into a cylindrical storage tank with diameter 28 inches. If the sccop is
Tilled to the top, what will be the height of the molten steel in the storage tank? Write the answer as a
decimal, rounded to the nearest tenth.
The molten steel will be
inches high

The molten steel will be 31.5 inches high.

Step-by-step explanation:

Step 1; As the molten steel is transferred from the scoop to the cylindrical storage, both the volumes must be equal. The hemisphere's volume is multiplied with π and with the cube of the radius (r³). If the radius is 21 inches.

The volume of the hemisphere = × π × 21 × 21 × 21 = 19,396.193 cubic inches.

Step 2; The cylinder's volume is calculated by multiplying π with the square of the radius (r²) and height (h). If the diameter is 28 inches, the radius equals 14 inches.

The volume of the cylinder = π × 14 × 14 × h = 615.752 × h cubic inches.

Step 3; Now, we substitute the values of both volumes with each other.

The volume of the hemisphere = The volume of the cylinder.

19,396.193 = 615.752 × h,

h = = 31.500 inches.

So the height of the cylinder is 31.50 inches. Rounding this off we get 31.5 inches.

both equations and proportions are better.

need more information

step-by-step explanation: