Question

1. a can of assorted fruit has a volume of 3,002.63 cm³, its diameter is 15 cm. what is its height?

volume =

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?

volume =

Explanation:

Step1: Find radius of fruit can

$r = \frac{15}{2} = 7.5$ cm

Step2: Recall cylinder volume formula

$V = \pi r^2 h$

Step3: Rearrange for height (fruit can)

$h = \frac{V}{\pi r^2}$

Step4: Calculate fruit can height

$h = \frac{3002.63}{\pi (7.5)^2} = \frac{3002.63}{3.1416 \times 56.25} \approx 16.9$ cm

Step5: Calculate grape juice can volume

$V = \pi (4.1)^2 \times 11 = 3.1416 \times 16.81 \times 11 \approx 583.4$ in³

Answer:

1. Height of the assorted fruit can: $\approx 16.9$ cm
2. Volume of the grape juice can: $\approx 583.4$ cubic inches