Lamp cone shell

The lamp shade should be formed by the shell of a cone with a base diameter of 48 cm and a side of 32 cm. Calculate how much material will be needed to make it, assuming 8% waste

Final Answer:

S =  2605.7626 cm²

Step-by-step explanation:

$$\begin{gathered} D=48\text{cm} \\ s=32\text{cm} \\ r=D/2=48/2=24\text{cm} \\ q=100\%+8\%=1+\frac{8}{100}=1.08 \\ {s}^2=v^2+r^2 \\ {S}_1=\pi \cdot r\cdot s=3.1416\cdot 24\cdot 32\doteq 2412.7432{\text{cm}}^2 \\ S=q\cdot S_1=1.08\cdot 2412.7432=2605.7626{\text{cm}}^2 \end{gathered}$$

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