Question : A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?
Option 1: 252$\pi$ cm3
Option 2: 356$\pi$ cm3
Option 3: 144$\pi$ cm3
Option 4: 175$\pi$ cm3
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Correct Answer: 252$\pi$ cm3
Solution : Outer radius, $R$ = 6 cm Inner radius, $r$ = 3 cm Volume of hollow sphere = $\frac{4}{3}×\pi × R^3 - \frac{4}{3}×\pi × r^3$ = $\frac{4}{3}×\pi × 6^3 - \frac{4}{3}×\pi × 3^3$ = $\frac{4}{3}×\pi × ( 6^3 - 3^3)$ = $\frac{4}{3}×\pi × ( 216 - 27)$ = $\frac{4×189}{3}×\pi$ = 252$\pi$ cm3 Hence, the correct answer is 252$\pi$ cm3.
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Question : The volume of a sphere of radius 4.2 cm is: (Use $\pi=\frac{22}{7}$)
Option 1: 278.234 cm3
Option 2: 312.725 cm3
Option 3: 297.824 cm3
Option 4: 310.464 cm3
Question : The height of a cylinder is 6 cm more than the radius of its base. If its radius is 14 cm, then what will be the volume of this cylinder? (use $\pi=\frac{22}{7}$)
Option 1: 13,560 cm3
Option 2: 14,340 cm3
Option 3: 10,440 cm3
Option 4: 12,320 cm3
Question : The radius and height of a cylinder are in the ratio 4: 7 and its volume is 2816 cm3. Find its radius. (Take $\pi=\frac{22}{7}$ )
Option 1: 5 cm
Option 2: 7 cm
Option 3: 8 cm
Option 4: 6 cm
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 : What is the volume of a cylinder if the radius of the cylinder is 10 cm and the height is 20 cm? (Take π = 3.14)
Option 1: 6280 cm3
Option 2: 5306 cm3
Option 3: 6260 cm3
Option 4: 5280 cm3
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