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A cylinder container has a volume of 48 cm^3. Another container made out of the same material similar to the first container with a height that is two-thirds the height of the first container.
What is the volume of the second container?
Please show work thanks!

Respuesta :

Answer:

Step-by-step explanation:

Volume of first container = 48 cm³

πr²h = 48 cm³

Second container:

height = (2/3)h

Volume of second container=

[tex]=\pi *r^{2}*(\frac{2}{3}*h)\\\\=\frac{2}{3}*\pi *r^{2}*h\\\\[/tex]

=(2/3)* first container's volume      {πr²h = 48 cm³}

[tex]=\frac{2}{3}*48\\\\=2*16\\\\[/tex]

= 32 cm³