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
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Correct Answer: 528 cm2
Solution : Given, the radius of the cylinder, $r$ = 6, height, $h$ = 8 The total surface of the cylinder $= 2\pi r(r+h)$ $=2\times \frac{22}{7}\times 6(6+8)$ $=2\times \frac{22}{7}\times 6\times 14$ $=2\times 22\times6\times 2$ $=528$ cm2 Hence, the correct answer is 528 cm2.
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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
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 : 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 sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 m2, find the curved surface area of the cylinder correct to two places of decimals (use $\pi=\frac{22}{7}$).
Option 1: 2157.43 m2
Option 2: 2571.43 m2
Option 3: 2715.43 m2
Option 4: 2517.43 m2
Question : The total surface area of a solid hemisphere of diameter 14 cm is (use $\pi=\frac{22}{7}$ ):
Option 1: 522 cm2
Option 2: 462 cm2
Option 3: 428 cm2
Option 4: 584 cm2
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