the ratio between the curved surface area and total surface area and total surface area of a right circular cylinder 2:3 find the ratio between the radius and height of the cylinder
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Answered by
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Answer:
- Ratio between he radius and height of the cylinder is 1:2.
Step-by-step explanation:
Given:
- Ratio between CSA & TSA of cylinder = 2:3
To Find:
- Ratio between height and radius.
Let the radius and height of the cylinder be r and h.
We know that,
⇒ Curved surface area of cylinder = 2πrh
⇒ Total surface area of cylinder = 2πr(r + h)
Hence, ratio between he radius and height of the cylinder is 1:2.
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AnswEr:
- Ratio of height to radius = 2:1.
Given:
- The ratio between the curved surface area and total surface area and total surface area of a right circular cylinder 2:3.
Need To Find:
- The ratio between the radius and height of the cylinder = ?
ExPlanation:
Let the height and radius of the right circular cylinder be h and r respectively.
- Curved surface area of right cicular cylinder = 2πrh
Total surface area of right circular cylinder = 2πrh + 2πr2 = 2πr(h + r)
So, ratio of curved surface area to total surface area =
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- So, ratio of height to radius is 2:1.
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