Answer:
The volume of the solid is [tex]1,021m^3[/tex]
Step-by-step explanation:
1. Cylinder
For find the volume of a cylinder we use the next formula:
[tex]V_{cylinder} = \pi h r^2 = \pi \cdot 9m\cdot (5m)^2 \approx 706.86m^3[/tex]
Then the volume of the cylinder is equal to [tex]706.86m^3[/tex]
2. Cones
For find the volume of a cone we use the next formula:
[tex]V_{cone} = \pi \frac{h}{3} r^2 = \pi \cdot \frac{6m}{3} \cdot (5m)^2 \approx 157.08m^3[/tex]
However there are two cones so we have to multiply the volume of one cone for two and we get the total volume for the cones which is [tex]314.16m^3[/tex]
3. Sum of the volumes
Finally we sum the volumes of the cylinder and the cones for get the final result
[tex]V_{cylinder} + V_{cones} = 706.86m^3 + 314.16m^3 \approx 1021m^3[/tex]
So approximating the result is [tex]1021m^3[/tex]
