Question

two cylinders are shown.
how much more volume does the larger cylinder have than the smaller cylinder?
answer to the nearest cubic meter and use 3.14 to approximate π
□ m³

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Calculate volume of larger cylinder

For the larger cylinder, \( r = 4 \, \text{m} \) and \( h = 8 \, \text{m} \). Using \( \pi \approx 3.14 \):

$$ V_{\text{large}} = 3.14 \times 4^2 \times 8 = 3.14 \times 16 \times 8 = 401.92 \, \text{m}^3 $$

Step3: Calculate volume of smaller cylinder

For the smaller cylinder, \( r = 4 \, \text{m} \) and \( h = 3 \, \text{m} \):

$$ V_{\text{small}} = 3.14 \times 4^2 \times 3 = 3.14 \times 16 \times 3 = 150.72 \, \text{m}^3 $$

Step4: Find the difference in volumes

Subtract the volume of the smaller cylinder from the larger one:

$$ \Delta V = V_{\text{large}} - V_{\text{small}} = 401.92 - 150.72 = 251.2 \approx 251 \, \text{m}^3 $$

Answer:

251