Question : The curved surface area of a solid hemisphere is 22 cm2. What is the total surface area of the hemisphere? (use $\pi=\frac{22}{7}$)
Option 1: 66 cm2
Option 2: 44 cm2
Option 3: 33 cm2
Option 4: 30 cm2
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Correct Answer: 33 cm 2
Solution :
Given: The curved surface area of a solid hemisphere is 22 cm
2
.
The curved surface area of the hemisphere = $2\pi r^2$
The total surface area of the hemisphere = $3\pi r^2$
where $r$ is the radius.
According to the question,
$2\times\frac{22}{7}\times r^2=22$
⇒ $r^2=\frac{7}{2}$
The total surface area of the hemisphere = $3\times\frac{22}{7} \times \frac{7}{2}=33$ cm
2
.
Hence, the correct answer is 33 cm
2
.
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