A) 24 cm
B) 25 cm
C) 26 cm
D) 27 cm
Correct Answer: C
Solution :
Here,\[\frac{1}{3}\pi {{r}^{2}}h=2512\]and \[r=5x\]and \[h=12x\] \[\frac{1}{3}\times 3.14\times {{(5x)}^{2}}\times 12x=2512\] \[{{x}^{3}}=\frac{2512}{314}=8\] \[\Rightarrow \]\[x=2\] \[\therefore \] Radius = 10 cm, height = 24 cm \[\therefore \] Slant height, \[h=\sqrt{{{r}^{2}}+{{h}^{2}}}=\sqrt{{{10}^{2}}+{{24}^{2}}}=\sqrt{676}=26\,\,\text{cm}\]You need to login to perform this action.
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