Spherical 63214

The gas tank consists of a 16m high cylinder with a diameter of 28m, which is closed at the top by a spherical canopy. The center of the spherical surface lies 4m below the bottom of the cylinder. Please calculate the spherical surface's radius and the canopy's height.

Correct answer:

r =  28.2843 m
h =  24.2843 m

Step-by-step explanation:

$$\begin{gathered} h=16\text{m} \\ R=28\text{m} \\ y=4\text{m} \\ {r}^2=R^2+y^2 \\ r=\sqrt{R^2+y^2}=\sqrt{28^2+4^2}=20\sqrt{2}=28.2843\text{m} \end{gathered}$$

$h=r-y=28.2843-4=24.2843\text{m}$

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