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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Correct Answer: 11229.17 cm3
Solution : Given the diameter of the hemisphere = 35 cm ⇒ Radius = $\frac{35}{2}$ cm The volume of the hemisphere = $\frac{2}{3}\pi r^3$ = $\frac{2}{3}\times \frac{22}{7}\times \frac{35}{2}\times \frac{35}{2}\times \frac{35}{2}$ = $\frac{22\times 5\times 35\times 35}{3\times 2\times 2}$ = $\frac{134750}{12}$ = $11229.17\ \mathrm{cm^3}$ Hence, the correct answer is 11229.17 cm3.
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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
Question : The radius of a hemisphere is 5.6 cm. What will be its volume?
Option 1: 367.95 cm3
Option 2: 195.95 cm3
Option 3: 380 cm3
Option 4: 265.65 cm3
Question : The volume of a solid hemisphere is 19404 cm3. Its total surface area is:
Option 1: 4158 cm2
Option 2: 2858 cm2
Option 3: 1738 cm2
Option 4: 2038 cm2
Question : If the surface area of a cube is 5046 cm2, then the volume of the cube is:
Option 1: 26189 cm3
Option 2: 25145 cm3
Option 3: 22812 cm3
Option 4: 24389 cm3
Question : If the diameter of a sphere is 3.5 cm, then what is the total surface area of the sphere?
Option 1: 45.75 cm2
Option 2: 42.6 cm2
Option 3: 38.5 cm2
Option 4: 34.25 cm2
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