To determine how much flour is needed to fill the canister, we will calculate the volume of the canister, which is shaped like a cylinder. The formula for the volume [tex]\( V \)[/tex] of a cylinder is:
[tex]\[ V = \pi r^2 h \][/tex]
where:
- [tex]\( r \)[/tex] is the radius of the base of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder,
- [tex]\( \pi \approx 3.14159 \)[/tex] is a constant (pi).
Given:
- The radius [tex]\( r \)[/tex] of the canister is 4 inches,
- The height [tex]\( h \)[/tex] of the canister is 5 inches.
Step-by-step solution:
1. Square the radius:
[tex]\[ r^2 = 4^2 = 16 \][/tex]
2. Multiply the squared radius by the height and pi:
[tex]\[ V = \pi \times 16 \times 5 \][/tex]
3. Compute the result (implicitly using [tex]\( \pi \)[/tex]):
[tex]\[ V = 3.14159 \times 16 \times 5 \approx 251.32741228718345 \][/tex]
Therefore, it will take approximately 251.33 cubic inches of flour to completely fill the canister.
