The question seems to be incomplete. However, I can guide you on how to approach it if you're asking how many spherical marbles can fit in the hollow cube.

Step 1: Calculate the volume of the cube
The volume of a cube is given by the formula V = a³, where a is the length of an edge. In this case, a = 22 cm, so the volume of the cube is V = 22³ = 10,648 cm³.

Step 2: Calculate the volume of a marble
The volume of a sphere is given by the formula V = 4/3πr³, where r is the radius. The diameter of the marbles is 0.5 cm, so the radius is r = 0.5/2 = 0.25 cm. Therefore, the volume of a marble is V = 4/3π(0.25)³ = 0.06545 cm³.

Step 3: Calculate the number of marbles that can fit in the cube
The number of marbles that can fit in the cube is given by the volume of the cube divided by the volume of a marble. However, since it's given that 1/8 of the cube's space remains unfilled, we'll only use 7/8 of the cube's volume for this calculation. So the number of marbles is N = (7/8 * 10,648) / 0.06545 ≈ 120,000.

So, approximately 120,000 spherical marbles can fit in the hollow cube.

Question

The question seems to be incomplete. However, I can guide you on how to approach it if you're asking how many spherical marbles can fit in the hollow cube.

Step 1: Calculate the volume of the cube
The volume of a cube is given by the formula V = a³, where a is the length of an edge. In this case, a = 22 cm, so the volume of the cube is V = 22³ = 10,648 cm³.

Step 2: Calculate the volume of a marble
The volume of a sphere is given by the formula V = 4/3πr³, where r is the radius. The diameter of the marbles is 0.5 cm, so the radius is r = 0.5/2 = 0.25 cm. Therefore, the volume of a marble is V = 4/3π(0.25)³ = 0.06545 cm³.

Step 3: Calculate the number of marbles that can fit in the cube
The number of marbles that can fit in the cube is given by the volume of the cube divided by the volume of a marble. However, since it's given that 1/8 of the cube's space remains unfilled, we'll only use 7/8 of the cube's volume for this calculation. So the number of marbles is N = (7/8 * 10,648) / 0.06545 ≈ 120,000.

So, approximately 120,000 spherical marbles can fit in the hollow cube.

Knowee AI · Accepted Answer

The question seems to be incomplete. However, I can guide you on how to approach it if you're asking how many spherical marbles can fit in the hollow cube.

Step 1: Calculate the volume of the cube
The volume of a cube is given by the formula V = a³, where a is the length of an edge. In this case, a = 22 cm, so the volume of the cube is V = 22³ = 10,648 cm³.

Step 2: Calculate the volume of a marble
The volume of a sphere is given by the formula V = 4/3πr³, where r is the radius. The diameter of the marbles is 0.5 cm, so the radius is r = 0.5/2 = 0.25 cm. Therefore, the volume of a marble is V = 4/3π(0.25)³ = 0.06545 cm³.

Step 3: Calculate the number of marbles that can fit in the cube
The number of marbles that can fit in the cube is given by the volume of the cube divided by the volume of a marble. However, since it's given that 1/8 of the cube's space remains unfilled, we'll only use 7/8 of the cube's volume for this calculation. So the number of marbles is N = (7/8 * 10,648) / 0.06545 ≈ 120,000.

So, approximately 120,000 spherical marbles can fit in the hollow cube.

A hollow cube of internal edge 22cm is filled with spherical marbles of diameter0.5 cm and it is assumed that 18 space of the cube remains unfilled

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