The lateral area of a cone is 574 pi cm2. the radius is 19.6 cm. what is the slant height to the nearest tenth of a centimeter?

29.3 cm.

Step-by-step explanation:

We have been given that the lateral area of a cone is 574 pi cm2. The radius is 19.6 cm. We are asked to find the slant height of the cone.

We will use lateral area of cone formula to solve our given problem.

, where,

r = Radius of cone,

l = Slant height of cone.

Upon substituting our given values in above formula we will get,

Dividing both sides by pi we will get,

Dividing both sides by 19.6 cm we will get,

Therefore, the slant height to the nearest tenth of a centimeter is 29.3 cm.

77

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.