How many square metres of canvas will be required to make a conical tent 8metre high and base radius is 6 m

Answer

To find out how many square meters of canvas will be required to make a conical tent with a height of 8 meters and a base radius of 6 meters, we can follow these steps:

### Step 1: Identify the given values
- Height (H) of the cone = 8 meters
- Radius (R) of the base = 6 meters

### Step 2: Calculate the slant height (L) of the cone
The formula for the slant height (L) of a cone is given by:
\[ L = \sqrt{R^2 + H^2} \]

Substituting the known values:
\[ L = \sqrt{6^2 + 8^2} \]
\[ L = \sqrt{36 + 64} \]
\[ L = \sqrt{100} \]
\[ L = 10 \text{ meters} \]

### Step 3: Calculate the curved surface area (CSA) of the cone
The formula for the curved surface area (CSA) of a cone is:
\[ \text{CSA} = \pi R L \]

Using \( \pi \approx \frac{22}{7} \):
\[ \text{CSA} = \frac{22}{7} \times 6 \times 10 \]

Calculating the area:
\[ \text{CSA} = \frac{1320}{7} \]
\[ \text{CSA} \approx 188.57 \text{ square meters} \]

### Step 4: Conclusion
The amount of canvas required to make the conical tent is approximately **188.57 square meters**.

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