A) 1080 cm3
B) 840 cm3
C) 1440 cm3
D) 720 cm3
Correct Answer: A
Solution :
Ans. According to the question,\[\frac{4}{3}\pi {{r}^{3}}=240\] \[\therefore \] r (radius of ball) \[=\sqrt[3]{57.27}\] We know, radius of ball = radius of container\[=\sqrt[3]{57.27}\] Height of container \[=6\times \sqrt[3]{57.27}\] \[\therefore \] Volume of container \[=\pi {{r}^{2}}h=\pi \,\,{{(\sqrt[3]{57.27})}^{2}}\times 6\times \sqrt[3]{57.27}\] \[=6\pi \,{{(57.27)}^{3}}\times {{(57.27)}^{\frac{1}{3}}}\] \[=6\pi \times 57.27\] \[\approx {{1080}^{3}}\]You need to login to perform this action.
You will be redirected in
3 sec