A) 15 cm
B) 18 cm
C) 21 cm
D) 24 cm
Correct Answer: C
Solution :
Volume of cylinder \[=\pi \,{{(10)}^{2}}\,21=2,\,100\,\pi \,c{{m}^{3}}\] If h be the height of the cone, then Volume of cone \[=\frac{1}{3}\pi {{(10)}^{2}}h=\frac{100}{3}\pi h\,\,c{{m}^{3}}\] By hypothesis, \[2100\pi -\frac{100}{3}\,\pi \,\,h=4,400\] or \[(6300-100h)\,\pi =13,200\] or \[6,300-100\,h=\frac{13,200\times 7}{22}=4,200\] or \[100\,h=6,300-4,200=2,100\] or \[h=21\,cm\]You need to login to perform this action.
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