Respuesta :
In this item, we are given that the volume of a stack of 15 pennies on the left is equal to 375 mm³. Then, we are asked of the volume of another 15 pennies on the right side. Given that these pennies are of the same type and size then, the volume should also be the same. Thus, the answer to this item is equal to 375 mm³.
To solve the problem we must know about the volume of a cylinder.
What is the Volume of a cylinder?
The volume of the cylinder is given as the product of the area of the base circle and the height of the cylinder.
[tex]\rm{ Volume\ of\ the\ cylinder= Area\ of\ base\ circle\ \times Height\ of\ the\ cylinder[/tex]
[tex]\rm{ Volume\ of\ the\ cylinder= \pi r^2 \times H[/tex]
The volume of the right stack consisting of 15 pennies will be 375 mm³.
Volume of the stack of pennies
As given in the question, 2 stacks (left and right) are made up of pennies, The volume of the left stack is 375 mm³.
As each penny will always have the same radius and thickness.
Therefore, the height and radius of the right stack will also be the same as of the left stack.
Hence, the volume of the right stack consisting of 15 pennies will be 375 mm³.
Learn more about Volume of cylinder:
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