turkey-yks 2016 Q39

turkey-yks · Other · ygs Volumes of Revolution Volume by Displacement or Composite Solid

The position of two iron balls in the shape of spheres with radius 3 units placed inside a right circular cylinder with radius 6 units is shown in Figure 1.
The cylinder is filled with water until both balls are completely submerged in water and the view in Figure 2 is obtained.
Accordingly, what is the volume of water in the cylinder in Figure 2 in cubic units?
A) $96 \pi$
B) $108 \pi$
C) $120 \pi$
D) $132 \pi$
E) $144 \pi$

The position of two iron balls in the shape of spheres with radius 3 units placed inside a right circular cylinder with radius 6 units is shown in Figure 1.

The cylinder is filled with water until both balls are completely submerged in water and the view in Figure 2 is obtained.

Accordingly, what is the volume of water in the cylinder in Figure 2 in cubic units?\\
A) $96 \pi$\\
B) $108 \pi$\\
C) $120 \pi$\\
D) $132 \pi$\\
E) $144 \pi$

Paper Questions

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