A) 2 cm
B) 4 cm
C) 3 cm
D) \[\sqrt{3}\,cm\]
Correct Answer: A
Solution :
Radius of cylinder = 8 cm and height =2 cm \[\therefore \] Volume of cylinder \[=\pi {{(3)}^{2}}\times 2\] \[=128\pi \,c{{m}^{3}}\] \[\therefore \] Volume of 12 sphere \[=128\pi \] \[\therefore \] Volume of 1 sphere \[=\frac{128\pi }{12}\] \[\Rightarrow \] \[\frac{4}{3}\pi {{R}^{3}}=\frac{128\pi }{12}\] \[\Rightarrow \] \[{{R}^{3}}=\frac{128\times 3}{4\times 12}=8\] \[\Rightarrow \] \[R=2\,cm\]
You need to login to perform this action.
You will be redirected in
3 sec
