Question

Kyle has a container of flour in the shape of a cylinder. The container has a diameter of 10 inches and a height of 8 inches. If the container is full, how much will the flour weigh if the average weight of the flower is 0.13 ounces per cubicin.³? Round to the nearest 10th if necessary

Answer 1

Firstly, we need to find the volume.

The volume of a cylinder is the area of its base times its height.

The area of its base is the area of a circle:

`A_b=\pi r^2`

Where r is the radius, which is half the diameter:

`r=(D)/(2)=(10)/(2)=5`

Sin the radius is 5 inches, the area of the base is:

`A_b=\pi5^2=25\pi`

And for the volume we have:

`V=A_b\cdot h=25\pi\cdot8=200\pi=628.3185...\approx628.3`

So, the volume of the cylinder is approximately 628.3 in³.

Since each in³ wieght about 0.13 ounces, we can multiply this value for the total volume in in³ for the total weight:

`W=628.3185...\cdot0.13=81.6814...\approx81.7`

So, the weight is approximately 81.7 ounces.