Answer:
84.9 cm³
Step-by-step explanation:
Height of the bigger Cylinder = 5 cm
Volume of the bigger Cylinder = 393 cm³
Height of the smaller cylinder = 3 cm
Volume of the smaller cylinder = x cm³
Since they are similar, therefore: the cube of their ratio would equal the ratio of their volume.
Thus:
[tex] (\frac{5}{3})^3 = \frac{393}{x} [/tex]
[tex] \frac{125}{27} = \frac{393}{x} [/tex]
Cross multiply
[tex] 125*x = 393*27 [/tex]
[tex] 125x = 10,611 [/tex]
Divide both sides by 125
[tex] \frac{125x}{125} = \frac{10,611}{125} [/tex]
[tex] x = 84.888 [/tex]
Volume of the smaller cylinder = 84.9 cm³ (to nearest tenth?
