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A conical tent with radius 6 units and height 8 units is to be made by canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)
188.57 units
155.87 units
166.57 units
177.55 units
To determine how much canvas is needed to make the conical tent, we need to calculate the surface area of the cone excluding the base.
- Surface Area of Cone: The formula is πrl, where r is the radius and l is the slant height.
- Radius (r): Given as 6 units.
- Height (h): Given as 8 units.
- Slant Height (l): Calculated using Pythagoras' theorem, l=r2+h2=62+82=36+64=100=10.
- Canvas Needed: Multiply π, radius, and slant height, π×6×10=60π. Approximating π to 3.14, the area is 60×3.14=188.4.
- Verdict:
- Option 1 (188.57 units): Close to the calculated value.
- Option 2 (155.87 units): Too low.
- Option 3 (166.57 units): Also too low.
- Option 4 (177.55 units): Lower than calculated value.
The closest and most reasonable option is Option 1 (188.57 units).
The correct answer is Option 1 (188.57 units).
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