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
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Correct Answer: 5544 cm2
Solution : Given, the volume of the sphere = 38,808 cm3 Let the radius of the sphere be $r$. According to the question, $\frac{4}{3}\pi r^3$ = 38,808 ⇒ $r^3$ = $\frac{38808×3×7}{4×22}$ = 9261 ⇒ $r$ = 21 So, the surface area of the sphere = $4\pi r^2$ = $4×\frac{22}{7}× 21^2$ = 5544 cm2 Hence, the correct answer is 5544 cm2.
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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 : 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 : 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
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 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
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