Question 194
Volume of a sphere is equal to the volume of a hemisphere. If the radius of the hemisphere is 3$$\sqrt[3]{2}$$ cm, then the radius of the sphere is equal to
Solution
Let the radius of sphere be $$r$$
Volume of sphere = Volume of hemisphere
=> $$\frac{4}{3} \pi r^3 = \frac{2}{3} \pi (3\sqrt[3]{2})^3$$
=> $$2r^3 = 54$$
=> $$r = \sqrt[3]{27} = 3$$ cm
Need AI Help?
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
Free SSC Topicwise Questions
SSC Data InterpretationSSC GeometrySSC Linear EquationsSSC Number SystemsSSC Quadratic EquationsSSC TrigonometrySSC AgesSSC ArithmeticSSC Reading ComprehensionSSC VocabularySSC AnalogySSC Coding DecodingSSC DirectionsSSC Meaningful OrderSSC Number SeriesSSC PuzzlesSSC SyllogismsSSC Words FormationSSC Venn Diagram
