Question : The surface area of a sphere is 221.76 cm2. Its volume (in cm3) is (correct to one decimal place): (Take $\pi=\frac{22}{7}$)
Option 1: 315.6
Option 2: 289.8
Option 3: 280.4
Option 4: 310.5
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Correct Answer: 310.5
Solution : The total surface area of the sphere = $4\pi r^2$ Where, $r$ = radius of the sphere According to the question, we have $4\pi r^2 = 221.76$ $⇒4 \times (\frac{22}{7}) \times r^2 = 221.76$ $⇒ r^2 = 17.64$ $\therefore r = 4.2\ \text{cm}$ Now, The volume of the sphere =$(\frac{4}{3}) \times \pi \times r^3=(\frac{4}{3}) \times (\frac{22}{7}) \times (4.2)^3= 310.5 \ \text{cm}^3$ Hence, the correct answer is 310.5 cm3.
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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 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 $\pi=\frac{22}{7}$ )
Option 1: 572 cm2
Option 2: 528 cm2
Option 3: 660 cm2
Option 4: 616 cm2
Question : If the volume of a sphere is 24,416.64 cm3, find its surface area (take $\pi$ = 3.14) correct to two places of decimal.
Option 1: 3069.55 cm2
Option 2: 4069.44 cm2
Option 3: 5096.66 cm2
Option 4: 6069.67 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 surface area of a sphere is 346.5 cm2, then its radius is: (Take $\pi=\frac{22}{7}$)
Option 1: 7 cm
Option 2: 3.25 cm
Option 3: 5.25 cm
Option 4: 9 cm
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