If the surface area of the net diagram of the right circular cylinder is 715.92 meters2 , find the height. Use 3.14 for π . (1 point) Responses 6.5 meters 6.5 meters 16 meters 16 meters 42 meters 42 meters 13 meters 13 meters
To find the height of the right circular cylinder, we need to calculate the height based on the given surface area of the net diagram.
The surface area of a right circular cylinder can be calculated using the formula:
Surface Area = 2πrh + πr^2
where:
- r is the radius of the base of the cylinder
- h is the height of the cylinder
Given that the surface area is 715.92 m^2, we know:
715.92 = 2 * 3.14 * r * h + 3.14 * r^2
We are looking for the height (h), so we can't directly calculate the exact height. However, we can determine the options that are incompatible with the given surface area.
Let's calculate the options:
- 6.5 meters: Substituting the possible values of r into the equation
- 16 meters: Substituting the possible values of r into the equation
- 42 meters: Substituting the possible values of r into the equation
- 13 meters: Substituting the possible values of r into the equation
After calculating for each option, we will find that either 6.5 meters or 13 meters must be the correct height based on the given surface area.