Answer:
[tex]586.13\,\,m^3[/tex]
Step-by-step explanation:
Given: Figure
To find: Volume of the figure
Solution:
The given figure is composed of two shapes:cylinder and hemisphere
Radius of cylinder = 4 m
Height of cylinder = 9 m
Volume of cylinder = [tex]\pi (radius)^2height=\pi (4)^2(9)=3.14(16)(9)=452.16\,\,m^3[/tex]
Volume of hemisphere = [tex]\frac{2}{3}\pi (radius)^3=\frac{2}{3}(3.14)(4)^3= \frac{2}{3}(3.14)(64)=133.9733\,\,m^3[/tex]
So,
total volume of the figure = Volume of cylinder + Volume of hemisphere = 452.16 + 133.97 =586.1333 [tex]m^3[/tex]
If 586.1333 is rounded to the nearest hundredth, it becomes 586.13 [tex]m^3[/tex]
