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
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Correct Answer: 33 cm 2
Solution : Given: The curved surface area of a solid hemisphere is 22 cm 2 . The curved surface area of the hemisphere = $2\pi r^2$ The total surface area of the hemisphere = $3\pi r^2$ where $r$ is the radius. According to the question, $2\times\frac{22}{7}\times r^2=22$ ⇒ $r^2=\frac{7}{2}$ The total surface area of the hemisphere = $3\times\frac{22}{7} \times \frac{7}{2}=33$ cm 2 . Hence, the correct answer is 33 cm 2 .
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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 $\pi=\frac{22}{7}$)
Question : The volume of a cylinder is 4312 cm3. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm2) is: (Take $\pi=\frac{22}{7}$ )
Question : The volume of a solid hemisphere is 19,404 cm3. Its total surface area (in cm2) is: (Take $\pi=\frac{22}{7}$)
Question : The slant height of a cone is 20 cm. If the area of its base is 616 cm2, then what is the curved surface area of this cone? (use $\pi=\frac{22}{7}$)
Question : The curved surface area of a solid circular cylinder of height 12 cm is 2640 cm2. What is the volume (in cm3) of the cylinder? (Take $\pi =\frac{22}{7}$)
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