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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


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

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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