Question

A new cylindrical can with a diameter of 4 cm is being designed by a local company. The surface area of the can is 130 square centimeters What is the height of the can? Estimate using 3.14 for x and

round to the nearest hundredth. Apply the formula for surface area of a cylinder SA-28+ Ph

Answer 1

The height is 9.73 cm.

Explanation:

We can start by finding the radius of the cylinder:

r = d/2 = 4/2 = 2 cm

Then, we can use the formula for the surface area of a cylinder to solve for the height:

SA = 2πrh + 2πr²

130 = 2π(2)(h) + 2π(2)²

130 = 4πh + 8π

122 = 4πh

h ≈ 9.73 cm (rounded to the nearest hundredth)

So the height of the can is approximately 9.73 cm.