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.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.