The total surface area of a closed hemisphere is 16632 cm3. What is the sum of the radius and the diameter of this hemisphere? [Use π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 3
We know that,
Volume of solid hemisphere = \(\frac{22}{7}\)πr3
Total surface area = 3πr2
We have,
TSA of Hemisphere = 16632 cm2
Now, according to the question,
= 3 × \(\frac{22}{7}\) × r2 = 16632
= r2 = 1764
= r = 42 cm
Now, the sum of the radius and diameter = 42 + 2 × 42 = 126 cm