Question : Find the surface area of a sphere whose radius is 3.5 cm. Use $(\left.\pi=\frac{22}{7}\right)$.
Option 1: 154 cm2
Option 2: 152 cm2
Option 3: 146 cm2
Option 4: 160 cm2
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Correct Answer: 154 cm2
Solution : Given, Radius = 3.5 cm The surface area of the sphere = $4\pi r^2$, where $r$ is the radius of the sphere. ⇒ Surface area = $4\times \frac{22}{7}\times 3.5\times 3.5=4\times 22\times 0.5\times 3.5=$ 154 cm2 Hence, the correct answer is 154 cm2.
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Question : If the radius of a sphere is increased by 2 cm, then its surface area increases by 352 cm2. The radius of the sphere initially was: (use $\pi =\frac{22}{7}$)
Option 1: 4 cm
Option 2: 5 cm
Option 3: 3 cm
Option 4: 6 cm
Question : The total surface area of a cylinder whose radius is 6 cm and height is 8 cm is: (Use $\pi=\frac{22}{7}$)
Option 1: 528 cm2
Option 2: 575 cm2
Option 3: 658 cm2
Option 4: 625 cm2
Question : The radius of a sphere is 3.5 cm. What is the total surface area of the sphere?
Option 2: 77 cm2
Option 3: 231 cm2
Option 4: 188 cm2
Question : The radius and slant height of a cone are in the ratio 5 : 7. If its curved surface area is 1347.5 cm2, find its radius. $\mathrm{(Use ~\pi =\frac{22}{7})}$
Option 1: 15 cm
Option 2: 25.5 cm
Option 3: 17.5 cm
Option 4: 21 cm
Question : Find the volume of a solid sphere whose diameter is 42 cm. (Use $\pi=\frac{22}{7}$)
Option 1: 38807 cm3
Option 2: 38808 cm3
Option 3: 38806 cm3
Option 4: 38805 cm3
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