The altitude of a right circular cylinder is twice the radius of the
base. What is the ratio of the lateral area to the total area of the
cylinder?
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Let h be the height of cylinder.
Given that r= radius= 5 cm
Total surface area=165
Continuation is in attachment
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Answer:
The ratio of the lateral area to the total area of the cylinder is 2 : 3
Step-by-step explanation:
Suppose the radius of the circular cylinder is 'r'.
The altitude of the cylinder(h) = 2 × radius of the cylinder = 2r
- Lateral area of the cylinder = 2πrh = 2πr × 2r = 4πr²
- Total area = (2 × area of base) + lateral area
Area of base = area of circle with radius r = πr²
Total area of the cylinder = (2 × πr²) + 4πr² = 6πr²
- Ratio calculation: Lateral area = 4πr² and total area = 6πr².
= =
Lateral area : Total area = 2 : 3
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