Question : If the volume of a sphere is $179 \frac{2}{3}$ m3, what is its surface area?
Option 1: 221 m2
Option 2: 154 m2
Option 3: 144 m2
Option 4: 151 m2
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Correct Answer: 154 m2
Solution : Given, the volume of a sphere is $179 \frac{2}{3} = \frac{539}{3}$ Volume of a sphere with radius, $r$ = $\frac{4}{3}\pi r^3$ ⇒ $\frac{4}{3}\pi r^3=\frac{539}{3}$ ⇒ $\frac{4}{3}\times \frac{22}{7}\times r^3=\frac{539}{3}$ ⇒ $r^3=\frac{49\times 7}{4\times 2}$ $\therefore r=\frac{7}{2}$ m Surface area = $4\pi r^2$ = $4\times \frac{22}{7}\times \frac{49}{4}$ = $154$ m2 Hence, the correct answer is 154 m2.
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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 : The curved surface area of the sphere is 154 cm2. Find the volume of the sphere (rounded off to one digit after decimal).
Option 1: 156.9 cm3
Option 2: 179.7 cm3
Option 3: 161.1 cm3
Option 4: 147.8 cm3
Question : The volume of the sphere is 38,808 cm3. What is the surface area of the sphere?
Option 1: 4455 cm2
Option 2: 4433 cm2
Option 3: 5544 cm2
Option 4: 3344 cm2
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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