Question

7.4 cm
2.6 cm
not drawn accurately

Explanation:

⚡ Using what you learned: volume of prisms, pyramids, cylinders, cones, spheres

Step 1: Identify the given dimensions

The solid is a cylinder with:

• Radius \( r = 2.6\text{ cm} \)
• Height (length) \( h = 7.4\text{ cm} \)

Step 2: Apply the cylinder volume formula

The formula for the volume of a cylinder is:

$$ V = \pi r^2 h $$

Substitute the given values:

$$ V = \pi \times (2.6)^2 \times 7.4 $$

$$ V = \pi \times 6.76 \times 7.4 $$

$$ V = 50.024\pi $$

Step 3: Calculate the final value

Using the value of \(\pi \approx 3.14159\):

$$ V \approx 50.024 \times 3.14159 \approx 157.155\text{ cm}^3 $$

Rounded to 1 decimal place:

$$ V \approx 157.2\text{ cm}^3 $$

Answer:

The volume of the cylinder is approximately \( 157.2\text{ cm}^3 \) (or \( 50.0\pi\text{ cm}^3 \) in terms of \(\pi\)).