The total surface area of a closed hemisphere is 4158 cm2. What is the diameter of the hemisphere? [Use π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 3
We know that,
Total surface area of a hemisphere = 3πR2
According to the question,
= 3 × (\(\frac{22}{7}\)) × R2 = 4158
= R2 = 4158 × (\(\frac{7}{66}\))
= R2 = 441
= R = 21
Diameter = 2 × 21 = 42cm