A) Increased by 25%
B) increased by 50%
C) Remains unaltered
D) decreased by 25%
Correct Answer: D
Solution :
Let the height of right circular cone be h cm and radius of base is r cm. \[\therefore \] Volume of cone, \[{{V}_{1}}=\frac{1}{3}\pi {{r}^{2}}h\] New height \[=\frac{300\times h}{100}=3h\,cm\] And new radius \[=\frac{50\times r}{100}=\frac{r}{2}\] \[\therefore \] New volume \[=\frac{1}{3}\pi \frac{{{r}^{2}}}{4}\times 3h=\frac{3}{4}({{V}_{1}})\] Thus, the volume of cone is decreased by 25%.
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