Question : If the diameter of a solid hemisphere is 12.6 cm, then its volume is (take $\pi=\frac{22}{7}$):
Option 1: 1,259 cm3
Option 2: 987 cm3
Option 3: 523.908 cm3
Option 4: 1,235.621 cm3
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Correct Answer: 523.908 cm3
Solution : Given: Diameter = 12.6 cm ⇒ radius, $r$ = 6.3 cm Volume of the hemisphere = $\frac{2}{3}\pi r^3$ $=\frac{2}{3}\times \frac{22}{7}\times (6.3)^3$ $= \frac{11002.068}{21}=$ 523.908 cm3 Hence, the correct answer is 523.908 cm3.
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Question : The volume of a solid hemisphere is 19,404 cm3. Its total surface area (in cm2) is: (Take $\pi=\frac{22}{7}$)
Option 1: 2772
Option 2: 3465
Option 3: 2079
Option 4: 4158
Question : If the surface area of a sphere is $1386 \mathrm{~cm}^2$, then its volume is: (Take $\pi=\frac{22}{7}$ )
Option 1: 8451 cm3
Option 2: 4851 cm3
Option 3: 5418 cm3
Option 4: 4581 cm3
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
Question : The sum of the curved surface area and the total surface area of a solid cylinder is 2068 cm2. If the radius of its base is 7 cm, then what is the volume of this cylinder? (use $\pi=\frac{22}{7}$)
Option 1: 2060 cm3
Option 2: 2480 cm3
Option 3: 3080 cm3
Option 4: 2760 cm3
Question : If the diameter of a hemisphere is 35 cm, then what is the volume of the hemisphere?
Option 1: 11229.17 cm3
Option 2: 15248.46 cm3
Option 3: 17428.33 cm3
Option 4: 9478.26 cm3
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