A) 4.75 cm
B) 9.5 cm
C) 19 cm
D) 38 cm
Correct Answer: D
Solution :
(d): The volume in both the cases would be the same. Let the height of the cone = h, its radius = 4 cm Hollow sphere:- Then, external radius = 6 cm Internal radius \[=4\,\,cm\] \[\Rightarrow \] \[\frac{4\pi \left( {{6}^{3}}-{{4}^{3}} \right)}{3}=\frac{\pi {{.4}^{2}}.h}{4}\] \[\Rightarrow \] \[h=\frac{{{6}^{3}}-{{4}^{3}}}{4}\] \[\Rightarrow \] \[h=\frac{216-64}{4}=38\,cm\]
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