| A solid sphere is cut into two equal halves. What is the ratio of the total surface area of each hemisphere that of the solid sphere? |
A) 2 : 3
B) 3 : 4
C) 1 : 2
D) 4 : 5
Correct Answer: B
Solution :
| If a solid sphere is cut into two equals halves, then its halves will became hemisphere. |
| The total surface area of a hemisphere \[=3\pi {{r}^{2}}\] |
| Total surface area of a sphere \[=4\pi {{r}^{2}}\] |
| Required ratio \[=3\pi {{r}^{2}}:4\pi {{r}^{2}}=3:4\] |
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