Find the Lateral area for given cylinder Use 3.14 and round to the nearest whole number
6yd 24yd
1. 144 yd2
2. 288 yd2
3. 2,712 yd2
4. 904 yd2
explain why
2. 288 yd2
The lateral area of a cylinder is given by the formula 2πrh, where r is the radius of the base and h is the height of the cylinder.
Here, the radius of the base is half of the diameter, which is given as 6yd. So, the radius (r) is 3yd.
The height (h) of the cylinder is given as 24yd.
Therefore, the lateral area of the cylinder = 2πrh
= 2 x 3.14 x 3 yd x 24 yd
= 543.36 yd2 (rounded to the nearest whole number)
Hence, the answer is option 2, 288 yd2.
To find the lateral area of a cylinder, you need to find the circumference of the base and multiply it by the height of the cylinder. The formula for finding the lateral area of a cylinder is:
Lateral Area = (circumference of base) * (height of the cylinder)
Given that the diameter of the cylinder is 6 yards, we can find the circumference by using the formula:
Circumference = π * diameter
Substituting the values, we get:
Circumference = π * 6 yards
Circumference = 3.14 * 6 yards
Circumference = 18.84 yards
Now, we need to multiply the circumference by the height of the cylinder, which is 24 yards:
Lateral Area = 18.84 yards * 24 yards
Lateral Area = 452.16 square yards
Rounding this value to the nearest whole number, we get 452 square yards. Therefore, the correct answer is option 4: 904 yd2.