Question : If the area of the non-spherical portion of a solid hemisphere is 1,560 m2, then the total surface area of the hemisphere is:
Option 1: 6,240 m2
Option 2: 4,680 m2
Option 3: 5,140 m2
Option 4: 3,120 m2
Correct Answer: 4,680 m 2
Solution :
Given: The area of the non-spherical portion of a solid hemisphere is 1560 m
2
.
So, $\pi r^2=1560$ --------------(1)
The total surface area of the hemisphere = $3\pi r^2$ where $r$ is the radius.
Substitute the value of $\pi r^2$ from the equation (1),
⇒ $3\pi r^2=3\times 1560=4,680$ m
2
Hence, the correct answer is 4,680 m
2
.
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