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4. Jim and Mary are competing in a math contest. They have to calculate how much it takes to completely fill a canister with a radius of 4 in. and a height
of 5 in. with flour. How much flour will it take to fill the canister?



Answer :

GinnyAnswer
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.

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