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Find the volume in the can (including the 2 tennis balls). The height of the can is 26cm, radius is 9 cm, and the radius of the tennis balls is 6 cm.

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Final answer:

To calculate the total volume in the can, we find the volumes of the cylinder (can) and two spheres (tennis balls) separately and sum them. The volume of the can is given by the formula for a cylinder and the volume of each tennis ball by the formula for a sphere. Add these volumes to obtain the total volume.

Step-by-step explanation:

To find the volume in the can including the 2 tennis balls, we will calculate the volume of the can (a cylinder) and add the volume of the two tennis balls (spheres).

First, we calculate the volume of the cylinder using the formula V = πr²h, where V is the volume, r is the radius of the cylinder, and h is the height. For the given can, the radius is 9 cm and the height is 26 cm.

Thus, the volume of the can is π × (9 cm)² × 26 cm.

To find the volume of one tennis ball (a sphere), we use the formula V = (4/3)πr³, where r is the radius of the tennis ball which is 6 cm.

The combined volume of two tennis balls is 2 × (4/3)π × (6 cm)³.

Finally, to get the total volume in the can, we add the volume of the cylinder and the combined volume of the two tennis balls.

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