4. Find the lateral area for the given cylinder. Use 3.14 for and round to the nearest whole number.
6 yd
24 yd
O 144 yd²
O 288 yd²
O 2,712 yd²
O 904 yd²
To find the lateral area of a cylinder, we need to use the formula:
Lateral Area = 2πrh
where π (pi) is a mathematical constant approximately equal to 3.14, r is the radius of the base of the cylinder, and h is the height of the cylinder.
The given information states:
Radius (r) = 6 yd
Height (h) = 24 yd
Now we can substitute these values into the formula to find the lateral area:
Lateral Area = 2π (6 yd) (24 yd)
Calculating this expression will give us the lateral area of the cylinder in square yards. Let's do the math:
Lateral Area = 2 * 3.14 * 6 * 24
Lateral Area = 2 * 3.14 * 144
Lateral Area ≈ 904.32
Rounding this result to the nearest whole number, we get 904.
Therefore, the lateral area of the given cylinder is approximately 904 square yards, which means the correct option is O 904 yd².