Answer:
[tex]489.40\,\,cm^3[/tex]
Step-by-step explanation:
Given:
The given two cross-sections have the same area such that the heights of the two solids are equal.
To find: volume of the cylinder
Solution:
Let r represents the radius of the cylinder.
Area of the cross-section of the cylinder ( i.e., area of a circle) = area of the cross-section of the other solid (are of the rectangle)
[tex]\pi r^2 =3.8\times 8.1\\r^2=\frac{3.8\times 8.1}{\pi}[/tex]
Height of the cylinder (h) = 15.9 cm
Volume of the cylinder [tex]=\pi r^2 h[/tex]
[tex]=(\pi)\frac{3.8\times 8.1}{\pi}(15.9)[/tex]
[tex]3.8\times 8.1\times 15.9=489.40\,\,cm^3[/tex]
