Practicing Success
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 = $\frac{22}{7}$] |
172 cm 168 cm 126 cm 154 cm |
126 cm |
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 |