Find the following measure for this figure.

lateral area =
55 square units
5√(47) square units
5√(146) square units

last option (5π√146 units²)

Step-by-step explanation:

To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:

where r is the radius but L is the slant height.

As you can see in the figure attached:

But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse):

Substitute into the formula, then:

 units²

The correct answer is 5√146π  square units

Step-by-step explanation:

From the figure we can see a cone

Points to remember

Lateral surface area of cone = πrl

r - Radius of cone

l - Slant height of cone

To find the slant height

From figure we get,

r = 5 units and height = 11 units

Slant height² = radius² + height² =  5² + 11² = 25 + 121 = 146

Slant height = √146 units

To find the lateral area

lateral area = πrl =  π * 5 * √146  = 5√146π  square units

The correct answer is 5√146π  square units

c. (3,2,6) is the answer.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.