Class 8 Exam > Class 8 Questions > A cylinder tin with diameter of base 20cm and...
Start Learning for Free
A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square?
Most Upvoted Answer
A cylinder tin with diameter of base 20cm and height 25 cm is open at ...
Step 1: Calculate the Surface Area to be Painted
To find the cost of painting the cylinder tin, we first need to calculate the surface area that requires painting. Since the tin is open at the top, we will only consider the curved surface area and the base.
- Curved Surface Area (CSA):
The formula for the curved surface area of a cylinder is:
CSA = 2 * π * r * h
Here, the radius (r) is half of the diameter.
- Diameter = 20 cm → Radius (r) = 10 cm
- Height (h) = 25 cm
- Therefore, CSA = 2 * π * 10 * 25 = 500π cm²
- Area of the Base:
The formula for the area of the base is:
Base Area = π * r²
- Base Area = π * 10² = 100π cm²
- Total Surface Area (TSA):
TSA = Curved Surface Area + Base Area
TSA = 500π + 100π = 600π cm²
Using π ≈ 3.14:
TSA = 600 * 3.14 ≈ 1884 cm²
Step 2: Convert Area to Square Metres
- Convert cm² to m²:
1 m² = 10,000 cm²
TSA in m² = 1884 cm² / 10,000 = 0.1884 m²
Step 3: Calculate the Cost of Painting
- Cost per m²:
The cost of painting is given as ₹300 per m².
- Total Cost:
Total Cost = Area (m²) * Cost per m²
Total Cost = 0.1884 * 300 = ₹56.52
Final Result
The cost to paint the cylinder tin is approximately ₹56.52.
To find the cost of painting the cylinder tin, we first need to calculate the surface area that requires painting. Since the tin is open at the top, we will only consider the curved surface area and the base.
- Curved Surface Area (CSA):
The formula for the curved surface area of a cylinder is:
CSA = 2 * π * r * h
Here, the radius (r) is half of the diameter.
- Diameter = 20 cm → Radius (r) = 10 cm
- Height (h) = 25 cm
- Therefore, CSA = 2 * π * 10 * 25 = 500π cm²
- Area of the Base:
The formula for the area of the base is:
Base Area = π * r²
- Base Area = π * 10² = 100π cm²
- Total Surface Area (TSA):
TSA = Curved Surface Area + Base Area
TSA = 500π + 100π = 600π cm²
Using π ≈ 3.14:
TSA = 600 * 3.14 ≈ 1884 cm²
Step 2: Convert Area to Square Metres
- Convert cm² to m²:
1 m² = 10,000 cm²
TSA in m² = 1884 cm² / 10,000 = 0.1884 m²
Step 3: Calculate the Cost of Painting
- Cost per m²:
The cost of painting is given as ₹300 per m².
- Total Cost:
Total Cost = Area (m²) * Cost per m²
Total Cost = 0.1884 * 300 = ₹56.52
Final Result
The cost to paint the cylinder tin is approximately ₹56.52.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square?
Question Description
A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square?.
A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square?.
Solutions for A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? defined & explained in the simplest way possible. Besides giving the explanation of
A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square?, a detailed solution for A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? has been provided alongside types of A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? theory, EduRev gives you an
ample number of questions to practice A cylinder tin with diameter of base 20cm and height 25 cm is open at the top. find the cost of painting the tin at rupees 300 per metre square? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup