A) 1 : 4
B) 2: 1
C) 1: 2
D) 4: 1
Correct Answer: A
Solution :
Let r and h he the radius and height of the cone respectively. \[\therefore \] \[{{V}_{1}}=\frac{1}{3}\pi {{r}^{2}}h\] New height = h and new radius \[=2r\] \[\therefore \] \[{{V}_{2}}=\frac{1}{3}\pi (2{{r}^{2}}h)=4\left( \frac{1}{3}\pi {{r}^{2}}h \right)\] \[{{V}_{2}}=4{{V}_{1}}\] \[\Rightarrow \] \[{{V}_{1}}:{{V}_{2}}=1:4\]You need to login to perform this action.
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