Answer:
The volume of the cylindrical tank is 176.625 cubic feet.
Explanation:
Given : The tank is 9 feet high and has a diameter of 5 feet.
To find : Marjorie needs to calculate how much water a cylindrical tank will hold ?
Solution :
The volume of a cylinder is
![V=\pi r^2 h](https://img.qammunity.org/2020/formulas/physics/middle-school/9oa82fhqj96l6x73kjwn7mnce9vk9ywsn9.png)
The diameter is d=5 feet
The radius is
![r=(d)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fk1e1iey2ro6jjywkduyxsns77nds88m30.png)
feet.
The height is h=9 feet.
Substitute the value in the formula,
![V=3.14* (2.5)^2* 9](https://img.qammunity.org/2020/formulas/mathematics/high-school/tgoj090rdju39y52ootek4vy2m15ocnmid.png)
![V=3.14* 6.25* 9](https://img.qammunity.org/2020/formulas/mathematics/high-school/lb5jqzj47smkgouk3yavmrlal3en1qy15e.png)
![V=176.625](https://img.qammunity.org/2020/formulas/mathematics/high-school/6dggy1wd41x4jpq2ftbd71fb3n3kg84hsu.png)
The volume of the cylindrical tank is 176.625 cubic feet.