Find the Lateral area for given cylinder Use 3.14 and round to the nearest whole number

Question

6yd 24yd
1. 144 yd2
2. 288 yd2
3. 2,712 yd2
4. 904 yd2
explain why

Answer 1

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.