11.4 Right Circular Cones

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Key Formulas

Solved Examples

Step 1

Given h=10,r=24h = 10, r = 24. We need slant height ll.

Step 2

l=h2+r2=102+242=100+576=676l = \sqrt{h^2 + r^2} = \sqrt{10^2 + 24^2} = \sqrt{100 + 576} = \sqrt{676}.

Step 3

l=26l = 26 m.

Step 4

Canvas area = CSA (base is open). CSA=πrl=227×24×26CSA = \pi rl = \frac{22}{7} \times 24 \times 26.

Step 5

CSA1961.14 m2CSA \approx 1961.14 \text{ m}^2.

Step 6

Cost = 1961.14×70=1372801961.14 \times 70 = 137280 (approx).

Step 7

Exact calculation: 227×24×26×70=22×24×26×10=137280\frac{22}{7} \times 24 \times 26 \times 70 = 22 \times 24 \times 26 \times 10 = 137280.

Final Answer

l=26m, Cost=₹137280

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