A) 25
B) 75
C) 50
D) 125
Correct Answer: D
Solution :
L = the radius of the cone H = height of the cone Volume of cone \[=\frac{1}{3}\pi {{L}^{2}}H\] Let n be the number of spherical balls then volume of the Balls = volume of the cone \[n\times \frac{2}{3}\pi {{R}^{3}}+\frac{1}{3}\pi {{L}^{2}}H\] \[n\times 4\pi {{R}^{3}}={{L}^{2}}H\] \[n=\frac{{{L}^{2}}H}{4{{r}^{3}}}=\frac{{{20}^{2}}\times 10}{4\times {{2}^{3}}}\] \[=\frac{400\times 10}{4\times 8}=125\]You need to login to perform this action.
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