Cylindrical 21123

When the body was immersed in a cylindrical vessel filled with water, the water level in the vessel rose by 28 mm. Calculate the volume of the immersed body if you know that the diameter of the bottom of the container is 8 cm.

Correct answer:

V =  140.7434 cm³

Step-by-step explanation:

$$\begin{gathered} h=28\text{mm}\to \text{cm}=28:10\text{cm}=2.8\text{cm} \\ D=8\text{cm} \\ r=D/2=8/2=4\text{cm} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 4^2\cdot 2.8=140.7434{\text{cm}}^3 \end{gathered}$$

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