Question

find the volume of this cylinder if \\(r = 3\text{ in}\\) and \\(h = 10\text{ in}\\).

• \\(94.2\text{ in}^3\\)
• \\(282.7\text{ in}^3\\)
• \\(188.5\text{ in}^3\\)
• \\(9.42\text{ in}^3\\)

Explanation:

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

Step 1: Identify the formula

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

Step 2: Substitute the given values

$$ r = 3 $$

$$ h = 10 $$

$$ V = \pi (3)^2 (10) $$

$$ V = 90\pi $$

Step 3: Calculate the numerical value

$$ V \approx 90 \times 3.14159 \approx 282.74 $$

Answer:

\( 282.7\text{ in}^3 \)