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
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Correct Answer: 38.5 cm2
Solution : The diameter of a sphere = 3.5 cm Radius, $r$ = $\frac{3.5}{2}$ = 1.75 cm The surface area of the sphere = $4 \pi r^2$ = $4 × \frac{22}{7} × 1.75^2$ = $38.5$ cm2 Hence, the correct answer is 38.5 cm2.
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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 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 : 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
Question : If the surface area of a cube is 5046 cm2, then the volume of the cube is:
Option 1: 26189 cm3
Option 2: 25145 cm3
Option 3: 22812 cm3
Option 4: 24389 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
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