Me i dont have a long time ): the lateral area of a cone is 574 pi cm^2. the radius is 19.6 cm. what is the slant height to the nearest tenth of a centimeter? 9.3 cm 29.9 cm 42.5 cm 92.0 cm

Step-by-step explanation:

Given that,

Lateral area of cone is 574π cm²

A = 574π cm²

Radius of the cone is 19.6cm

r = 19.6cm

What is the slant height

L =?

The lateral surface area of a cone is the area of the lateral or side surface only. So, the lateral area is the curved surface area.

So, curved surface area of a cone is given by.

A = πrL

Where

A is the area of the curved surfacer is the radius of the circle

L is the required slant height

π is a constant

A = πrL

574π = π×19.6×L

574π = 19.6πL

Then, divide both side by 19.6π

L = 574π / 19.6π

L = 29.2857cm

So, to the nearest tenth, nearest tenth means to 1d.p

L = 29.3cm.

The answer is not in the given option but I believe it should be the first option.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

the answer is c)8

step-by-step explanaction: