Question

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Answer 1

The slant height l = 10 cm

Using Pythagoras theorem

The height of the cone is

`\begin{gathered} h=√(l^2-h^2) \\ \\ \Rightarrow√(10^2-6^2)=√(100-36)=√(64)=8 \end{gathered}`

Hence, the height is 8 cm

The formula for the Lateral surface area is given as;

`\begin{gathered} A_L=\pi rl \\ \\ A_L=\pi*6*10=60\pi\text{ cm}^2 \end{gathered}`