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Sagot :
Answer:
cylinder- 10895.04 volume- 14,829.36
cone- 3934.32
paint- 1312.34 ft/gallon
-the farmer would need approximatley 11 cans to paint it comepletly
Step-by-step explanation:
Surface area is the sum of the all the faces of a solid. The number of paint cans farmer need to paint the entire silo is 5 (approx.)
What is surface area?
Surface area is the sum of the all the faces of a solid.
Given-
The measurement of the silo is shown in the attached image.
The slant edge of the cone is 20 m.
The height of the cylinder is the 12 m.
The diameter of the cylinder and the cone is 38 m.
Thus the radius [tex]r[/tex] of the cylinder and the cone is,
[tex]r=\dfrac{34}{2}[/tex]
[tex]r=17[/tex]
Let surface area of the cylinder is [tex]V_1[/tex]. The surface area of the cylinder with height [tex]h[/tex] and radius [tex]r[/tex] can be calculates as,
[tex]V_1=2\pi rh+2\pi r^2[/tex]
[tex]V_1=2\pi \times 17\times 20+2\pi \times 17^2[/tex]
[tex]V_1=1258\pi[/tex]
Let the surface area of the cone is [tex]V_2[/tex]. The surface area of the cylinder with slant height [tex]l[/tex] and radius [tex]r[/tex] can be calculates as,
[tex]V_2=\pi rl +\pi r^2[/tex]
[tex]V_2=\pi \times 17\times 20 +\pi \times 17^2[/tex]
[tex]V_2=629\pi[/tex]
Total surface area of the silo is,
[tex]V=V_1+V_2[/tex]
[tex]V=1258+629\pi[/tex]
[tex]V=1887\pi[/tex]
As a typical can of paint covers 400 squared meters. Thus the total number of paint (say [tex]n[/tex]) to paint the entire silo is,
[tex]n=\dfrac{1887}{400}[/tex]
[tex]n=4.71[/tex]
Thus the number of paint cans farmer need to paint the entire silo is 5 (approx.).
Learn more about the surface area here;
https://brainly.com/question/2835293
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