A) 4 cm
B) 5 cm
C) 3 cm
D) 6 cm
Correct Answer: A
Solution :
Let the radius of the cylinder be r cm. So, diameter of the cylinder = 2r \[\therefore \] Height of the cylinder \[=\frac{2}{3}(2r)=\frac{4r}{3}\] Volume of the cylinder = Volume of the sphere of radius 4 cm \[\Rightarrow \] \[\pi {{r}^{2}}\left( \frac{4r}{3} \right)=\frac{4}{3}\pi {{(4)}^{3}}\,\,\Rightarrow {{r}^{3}}=\frac{3}{4}\times \frac{4}{3}\times {{4}^{3}}\] \[\Rightarrow \] \[{{r}^{3}}={{4}^{3}}\,\,\Rightarrow \,\,r=4cm.\]
You need to login to perform this action.
You will be redirected in
3 sec
