Question

1. find the volume to the nearest tenth. v = \square m³

Explanation:

Step1: Identify the formula for the volume of a cylinder

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

Step2: Determine the radius and height

From the diagram, the diameter of the base is \( 16 \) m, so the radius \( r = \frac{16}{2} = 8 \) m. The height \( h = 6 \) m.

Step3: Substitute the values into the formula

\( V = \pi \times (8)^2 \times 6 \)
\( V = \pi \times 64 \times 6 \)
\( V = 384\pi \)

Step4: Calculate the numerical value

Using \( \pi \approx 3.14159 \), we get \( V \approx 384 \times 3.14159 \approx 1206.37 \)

Step5: Round to the nearest tenth

Rounding \( 1206.37 \) to the nearest tenth gives \( 1206.4 \)

Answer:

\( 1206.4 \)