Question

1. a family - sized can of grape juice has a radius of 4.1 inches and a height of 11 inches. what is the volume of the can of grape juice?

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is given by $V = \pi r^2 h$, where $r$ is radius and $h$ is height.

Step2: Substitute given values

Substitute $r = 4.1$ inches and $h = 11$ inches:
$V = \pi \times (4.1)^2 \times 11$

Step3: Calculate $(4.1)^2$

$(4.1)^2 = 16.81$

Step4: Multiply by height

$16.81 \times 11 = 184.91$

Step5: Multiply by $\pi$

$V = 184.91\pi \approx 184.91 \times 3.1416 \approx 581.0$

Answer:

The volume of the can is approximately 581.0 cubic inches (or exactly $184.91\pi$ cubic inches)