Question

A water tank is a cylinder with a radius of 2 feet and a height of 6 feet. What is the surface area of the water tank rounded to the nearest square foot?​

Answer 1

101 square feet

Explanation:

SA of a cylinder:

`2\pi rh+2\pi r^2`

We know that the radius (r) is 2, and the height (h) is 6, so we can substitute in the values:

`2\pi rh+2\pi r^2\\=2\pi (2)(6)+2\pi (2)^2`

simplify

`=2\pi (12)+2\pi (4)\\=24\pi +8\pi \\=32\pi \\=100.5309...`

Our final answer would be 100.53 square feet, but since we are rounding, it would be 101 square feet.

Hope this helps! :)

Answer 2

The surface area of the water tank is 101 ft².

To calculate the surface area of the water tank, we need to find the area of the two circular bases and the lateral surface area (the curved surface).

The formula for the surface area of a cylinder is:

`SA = 2\pi rh+2\pi r^2`

Where:

r = radius of the circular base

h = height of the cylinder

`SA = 2\pi (2)(6) + 2\pi (2)^2`

`SA = 100.531`

Rounding to the nearest square foot the surface area becomes 101 ft².