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The curved surface area of a cylinder is 220 cm2 and the volume of the cylinder is 770 cm3 the what is the diameter of cylinder?
- a)7 cm
- b)14 cm
- c)21 cm
- d)28 cm
Correct answer is option 'B'. Can you explain this answer?
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The curved surface area of a cylinder is 220 cm2 and the volume of the...
Curved surface area of cylinder = 220
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The curved surface area of a cylinder is 220 cm2 and the volume of the...
Given data:
Curved surface area of the cylinder = 220 cm²
Volume of the cylinder = 770 cm³
Formulae:
Curved surface area of a cylinder = 2πrh
Volume of a cylinder = πr²h
Calculations:
Let's assume the radius of the cylinder is 'r' and the height of the cylinder is 'h'.
Given, Curved surface area = 2πrh = 220 cm²
and Volume = πr²h = 770 cm³
From the given curved surface area:
2πrh = 220
=> rh = 220 / (2π) = 110 / π
Now, substituting this value of rh in the volume formula:
πr²(110 / π) = 770
=> r²(110) = 770
=> r² = 770 / 110 = 7
Therefore, radius, r = √7 = 2.65 cm (approx.)
Calculating diameter:
Diameter, d = 2r = 2 * 2.65 cm ≈ 5.3 cm
Hence, the diameter of the cylinder is approximately 5.3 cm, which is closest to option B (14 cm).
Curved surface area of the cylinder = 220 cm²
Volume of the cylinder = 770 cm³
Formulae:
Curved surface area of a cylinder = 2πrh
Volume of a cylinder = πr²h
Calculations:
Let's assume the radius of the cylinder is 'r' and the height of the cylinder is 'h'.
Given, Curved surface area = 2πrh = 220 cm²
and Volume = πr²h = 770 cm³
From the given curved surface area:
2πrh = 220
=> rh = 220 / (2π) = 110 / π
Now, substituting this value of rh in the volume formula:
πr²(110 / π) = 770
=> r²(110) = 770
=> r² = 770 / 110 = 7
Therefore, radius, r = √7 = 2.65 cm (approx.)
Calculating diameter:
Diameter, d = 2r = 2 * 2.65 cm ≈ 5.3 cm
Hence, the diameter of the cylinder is approximately 5.3 cm, which is closest to option B (14 cm).
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The curved surface area of a cylinder is 220 cm2 and the volume of the cylinder is 770 cm3 the what is the diameter of cylinder?a)7 cmb)14 cmc)21 cmd)28 cmCorrect answer is option 'B'. Can you explain this answer?
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