Answer:
Rounded to nearest tenth is 328,268.2 mm cubed
Step-by-step explanation:
The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20
where
r is the radius of the base of the cylinder
h is the height of the cylinder
In this problem we have:
h = 96 mm is the height of the can
d = 66 mm is the diameter of the can
So the radius of its base is
https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B66%7D%7B2%7D%3D33%20mm
And therefore, the volume of the can is:
https://tex.z-dn.net/?f=V%3D%5Cpi%20(33)%5E2%20(96)%3D328%2C268%20mm%5E3
Answer
328,268.2 mm cubed is correct!
Step-by-step explanation:
If you use the formula V=πr²h with these steps:
1. Calculate the area of the base (which is a circle)
2. use the equation πr² where r is the radius of the circle.
3. Then, multiply the area of the base by the height of the cylinder
4. The volume is found!
