Question : If the volume of a sphere is 38808 cm³, then its surface area is:
Option 1: 5554 cm²
Option 2: 5574 cm²
Option 3: 5564 cm²
Option 4: 5544 cm²
Correct Answer: 5544 cm²
Solution : Volume of sphere (radius = $r$) = 38808 cm$^3$ Volume of sphere = $\frac{4}{3}\pi r^3$ Surface Area of sphere = $4\pi r^2$ Calculation: ⇒ $\frac{4}{3}\pi r^3$ = 38808 ⇒ $\frac{4}{3}\times\frac{22}{7}\times r^3$ = 38808 ⇒ $r^3$ = $\frac{38808\times21}{88}$ ⇒ $r^3$ = 9261 ⇒ $r$ = 21 cm Now, the Surface Area of the sphere = $4×227×21×21$ = 4 × 66 × 21 = 5544 cm$^2$ Hence, the correct answer is 5544 cm2.
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Question : The ratio of the total surface area and volume of a sphere is 2 : 7. Its radius is:
Option 1: 7.5 cm
Option 2: 10.5 cm
Option 3: 10 cm
Option 4: 7 cm
Question : If the volume of a sphere is 4851 cm3, then its surface area (in cm2)is: $\left(\right.$Take $\pi=\frac{22}{7})$
Option 1: 1427
Option 2: 1386
Option 3: 1399
Option 4: 1268
Question : The lateral surface area of a cylinder is 1056 cm2 and its height is 16 cm. Find its volume.
Option 1: 4545 cm3
Option 2: 4455 cm3
Option 3: 5445 cm3
Option 4: 5544 cm3
Question : The volume of a sphere is given by 130977 cm3. Its surface area (in cm2) is:
Option 1: 16847
Option 2: 12474
Option 3: 17424
Option 4: 14274
Question : If the area of the base of a cone is 154 cm2 and the area of its curved surface is 550 cm2, then its volume is:
Option 1: 1232 cm3
Option 2: 1122 cm3
Option 3: 1434 cm3
Option 4: 1535 cm3
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