Question

madeline canned peaches using two different sizes of cans. find the volume of each can she used. round to the nearest hundredth if necessary

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Calculate first can's volume

Substitute $r=5\ \text{cm}$, $h=16\ \text{cm}$:
$V_1 = \pi \times 5^2 \times 16 = \pi \times 25 \times 16 = 400\pi \approx 1256.64\ \text{cm}^3$

Step3: Calculate second can's volume

Substitute $r=3\ \text{cm}$, $h=8.4\ \text{cm}$:
$V_2 = \pi \times 3^2 \times 8.4 = \pi \times 9 \times 8.4 = 75.6\pi \approx 237.50\ \text{cm}^3$

Answer:

Volume of first can: $1256.64\ \text{cm}^3$
Volume of second can: $237.50\ \text{cm}^3$