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Sva su tijela lijepa | All Shapes Are Beautiful #1
Površina presjeka krnjeg stošca ravninom koja prolazi polovištem njegove visine paralelno osnovici jednaka je
. Obujam stošca iznosi
, a duljina visine je
. Koliki je zbroj promjera osnovki gledanog stošca?
![225\pi](/media/m/b/4/5/b45aa3767c23eb9bc1c53a3fd70d214d.png)
![2800\pi](/media/m/2/9/e/29ea5f09358fa2159f5fcb1eb5d02f6e.png)
![12](/media/m/e/f/6/ef6c8e9eecc5ee3d49031ee4f0e20f98.png)
The cross-sectional area of the plane which is parallel to the base of a truncated cone and which passes through the midpoint of the height of that cone is
. The volume of the cone is
, and the length of its height is
. What is the sum of the diameters of the bases of that cone?
![225 \pi](/media/m/5/6/6/5669d86884be50499da83be3821a87e7.png)
![2800 \pi](/media/m/3/d/0/3d0bece9145c151a6b595e4ca0c75a02.png)
![12](/media/m/e/f/6/ef6c8e9eecc5ee3d49031ee4f0e20f98.png)