Question

PLEASE ANSWER QUICK AND FAST

Which of the following shows a correct method to calculate the surface area of the cylinder?

cylinder with diameter labeled 2.8 feet and height labeled 4.2 feet

SA = 2π(2.8)2 + 2.8π(4.2) square feet
SA = 2π(1.4)2 + 2.8π(4.2) square feet
SA = 2π(2.8)2 + 1.4π(4.2) square feet
SA = 2π(1.4)2 + 1.4π(4.2) square feet

Answer 1

Answer: SA = 2π(1.4)² + 2.8ππ(4.20 square feet

Explanation:

The formula for calculating surface is 2πr² + 2πr× height

Answer 2

The correct method to calculate the surface area of the cylinder is:

SA = 2πr^2 + 2πrh

where r is the radius of the circular base of the cylinder, and h is its height. The diameter of the cylinder is 2.8 feet, which means the radius is half of that, or r = 1.4 feet. The height is 4.2 feet. Therefore, the correct equation to calculate the surface area of the cylinder is:

SA = 2π(1.4)^2 + 2π(1.4)(4.2) square feet

This simplifies to:

SA = 2π(1.96) + 2π(5.88) square feet

SA = 12.46π square feet

Therefore, the correct answer is not one of the options given. The correct surface area of the cylinder is 12.46π square feet (or approximately 39.14 square feet).