Truncated cone 5

The height of a cone 7 cm and the length of side is 10 cm and the lower radius is 3cm. What could the possible answer for the upper radius of truncated cone?

Correct answer:

r₁ =  10.1414 cm

Step-by-step explanation:

$$\begin{gathered} h=7\text{ cm } \\ s=10\text{ cm } \\ {r}_2=3\text{ cm } \\ x=\sqrt{s^2-h^2}=\sqrt{10^2-7^2}=\sqrt{51}\text{ cm}\doteq 7.1414\text{ cm } \\ r=r_2-x<0 \\ {r}_1=r_2+x=3+7.1414=10.1414\text{ cm} \end{gathered}$$

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