Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
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
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
