Answer: The slant height of the cone is 65.6 m
Step-by-step explanation:
Given: The diameter of a cone = 10 m
Surface area of cone = 190.6 m²
To find: Slant height
Diameter of cone = 10 m
Therefore Radius of cone =
As we know that surface area of a cone is given by
Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.
Let Slant height = l
So we have
Hence the slant height of the cone is 65.6 m
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:
(1)
Where:
If we know that ,
and
, then the proportion of the paint that is 30 % gloss is:
And the quantity of gallons needed of each paint are:
Paint (30 % gloss)
Paint (15 % gloss)
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478