Question : The volume of a solid sphere is $4500 \pi \;cm^3$. The surface area of the solid sphere is:
Option 1: $700 \pi\; \text{cm}^2$
Option 2: $850 \pi\; \text{cm}^2$
Option 3: $900 \pi\; \text{cm}^2$
Option 4: $810 \pi\; \text{cm}^2$
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Correct Answer: $900 \pi\; \text{cm}^2$
Solution : Volume of a solid sphere = $4500 \pi$ cm$^3$ $⇒\frac{4}{3}×\pi×r^3$ = $4500 \pi$ cm$^3$ $⇒r^3$ = $\frac{4500×3}{4}$ = 3375 $\therefore r$ = 15 cm The Surface area of the solid sphere = $4\pi r^2$ = 4 × $\pi$ × 15$^2$ cm$^2$ = 900$ \pi$ cm$^2$ Hence, the correct answer is $900 \pi\; \text{cm}^2$.
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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 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
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 : 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
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
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