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A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSA
at Rs. 12/sq m is :
- a)5.94
- b)6.94
- c)7.95
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A vessel is in conical shape. If its volume is 33.264 litres and heigh...
1dm^3 =1l..
(1000)cm^3=1l...
volume of vessel=33.264l..
=(33.264×1000)cm^3..
=33264cm^3..
=> (1/3) (pie) (r^2) h = 33264cm^3
=Find r..
now,slant height of cone= l=square root [(h^2)+(r^2)]..
now,CSA= (Pie) (r) (l)..
now,cost of repairing=Rs(12×CSA) ..
(1000)cm^3=1l...
volume of vessel=33.264l..
=(33.264×1000)cm^3..
=33264cm^3..
=> (1/3) (pie) (r^2) h = 33264cm^3
=Find r..
now,slant height of cone= l=square root [(h^2)+(r^2)]..
now,CSA= (Pie) (r) (l)..
now,cost of repairing=Rs(12×CSA) ..
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Community Answer
A vessel is in conical shape. If its volume is 33.264 litres and heigh...
Given:
Volume of the vessel = 33.264 litres
Height of the vessel = 72 cm
Cost of repairing CSA = Rs. 12/sq m
To find:
The cost of repairing the CSA of the vessel.
Formula:
Volume of a cone = (1/3) * π * r^2 * h
Curved Surface Area of a cone = π * r * l
where,
r = radius of the base of the cone
h = height of the cone
l = slant height of the cone
We can use these formulas to find the radius of the base and the slant height of the cone.
Calculation:
1. Convert the volume from litres to cm^3:
Volume of the vessel = 33.264 litres = 33.264 * 1000 cm^3 = 33264 cm^3
2. Convert the height from cm to meters:
Height of the vessel = 72 cm = 72/100 m = 0.72 m
3. Calculate the radius of the base using the volume formula:
Volume of a cone = (1/3) * π * r^2 * h
33264 = (1/3) * 3.14 * r^2 * 0.72
r^2 = (33264 * 3)/(0.72 * 3.14)
r^2 = 44800
r = √44800
r ≈ 211.68 cm
4. Calculate the slant height using the Pythagorean theorem:
Slant height^2 = r^2 + h^2
Slant height^2 = (211.68)^2 + (0.72)^2
Slant height^2 = 44800 + 0.5184
Slant height^2 ≈ 44800.5184
Slant height ≈ √44800.5184
Slant height ≈ 211.69 cm
5. Calculate the CSA of the cone using the CSA formula:
Curved Surface Area of a cone = π * r * l
CSA = 3.14 * 211.68 * 211.69
CSA ≈ 141086.6 cm^2
6. Convert the CSA from cm^2 to m^2:
CSA = 141086.6 cm^2 = 141086.6/10000 m^2 = 14.10866 m^2
7. Calculate the cost of repairing the CSA:
Cost = CSA * Cost per sq m
Cost = 14.10866 * 12
Cost ≈ Rs. 169.30392
Therefore, the cost of repairing the CSA of the vessel is approximately Rs. 169.30392.
Volume of the vessel = 33.264 litres
Height of the vessel = 72 cm
Cost of repairing CSA = Rs. 12/sq m
To find:
The cost of repairing the CSA of the vessel.
Formula:
Volume of a cone = (1/3) * π * r^2 * h
Curved Surface Area of a cone = π * r * l
where,
r = radius of the base of the cone
h = height of the cone
l = slant height of the cone
We can use these formulas to find the radius of the base and the slant height of the cone.
Calculation:
1. Convert the volume from litres to cm^3:
Volume of the vessel = 33.264 litres = 33.264 * 1000 cm^3 = 33264 cm^3
2. Convert the height from cm to meters:
Height of the vessel = 72 cm = 72/100 m = 0.72 m
3. Calculate the radius of the base using the volume formula:
Volume of a cone = (1/3) * π * r^2 * h
33264 = (1/3) * 3.14 * r^2 * 0.72
r^2 = (33264 * 3)/(0.72 * 3.14)
r^2 = 44800
r = √44800
r ≈ 211.68 cm
4. Calculate the slant height using the Pythagorean theorem:
Slant height^2 = r^2 + h^2
Slant height^2 = (211.68)^2 + (0.72)^2
Slant height^2 = 44800 + 0.5184
Slant height^2 ≈ 44800.5184
Slant height ≈ √44800.5184
Slant height ≈ 211.69 cm
5. Calculate the CSA of the cone using the CSA formula:
Curved Surface Area of a cone = π * r * l
CSA = 3.14 * 211.68 * 211.69
CSA ≈ 141086.6 cm^2
6. Convert the CSA from cm^2 to m^2:
CSA = 141086.6 cm^2 = 141086.6/10000 m^2 = 14.10866 m^2
7. Calculate the cost of repairing the CSA:
Cost = CSA * Cost per sq m
Cost = 14.10866 * 12
Cost ≈ Rs. 169.30392
Therefore, the cost of repairing the CSA of the vessel is approximately Rs. 169.30392.
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A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSAat Rs. 12/sq m is :a)5.94b)6.94c)7.95d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSAat Rs. 12/sq m is :a)5.94b)6.94c)7.95d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSAat Rs. 12/sq m is :a)5.94b)6.94c)7.95d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSAat Rs. 12/sq m is :a)5.94b)6.94c)7.95d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSAat Rs. 12/sq m is :a)5.94b)6.94c)7.95d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSAat Rs. 12/sq m is :a)5.94b)6.94c)7.95d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is in conical shape. If its volume is 33.264 litres and height is 72 cm, the cost of repairing its CSAat Rs. 12/sq m is :a)5.94b)6.94c)7.95d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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