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The curved surface area of a right circular cylinder of height 7 cm is 44 cm2, the diameter of the base of the cylinder is
- a)1 cm
- b)2 cm
- c)4 cm
- d)0.5 cm
Correct answer is option 'B'. Can you explain this answer?
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Given:
Height of the cylinder = 7 cm
Curved surface area of the cylinder = 44 cm²
We know that the curved surface area of a right circular cylinder is given by the formula:
CSA = 2πrh
Where CSA is the curved surface area, π is a constant (approximately equal to 3.14), r is the radius of the base, and h is the height of the cylinder.
To find the diameter of the base, we need to find the radius of the base first.
Let's substitute the given values into the formula and solve for the radius:
44 = 2 * 3.14 * r * 7
Divide both sides of the equation by 2 * 3.14 * 7:
44 / (2 * 3.14 * 7) = r
Simplifying the equation:
r ≈ 1
So, the radius of the base is approximately 1 cm.
Now, we can find the diameter of the base by multiplying the radius by 2:
Diameter = 2 * radius = 2 * 1 = 2 cm
Therefore, the diameter of the base of the cylinder is 2 cm, which corresponds to option B.
Height of the cylinder = 7 cm
Curved surface area of the cylinder = 44 cm²
We know that the curved surface area of a right circular cylinder is given by the formula:
CSA = 2πrh
Where CSA is the curved surface area, π is a constant (approximately equal to 3.14), r is the radius of the base, and h is the height of the cylinder.
To find the diameter of the base, we need to find the radius of the base first.
Let's substitute the given values into the formula and solve for the radius:
44 = 2 * 3.14 * r * 7
Divide both sides of the equation by 2 * 3.14 * 7:
44 / (2 * 3.14 * 7) = r
Simplifying the equation:
r ≈ 1
So, the radius of the base is approximately 1 cm.
Now, we can find the diameter of the base by multiplying the radius by 2:
Diameter = 2 * radius = 2 * 1 = 2 cm
Therefore, the diameter of the base of the cylinder is 2 cm, which corresponds to option B.
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The curved surface area of a right circular cylinder of height 7 cm is 44 cm2, the diameter of the base of the cylinder isa)1 cmb)2 cmc)4 cmd)0.5 cmCorrect answer is option 'B'. Can you explain this answer?
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