Question : A sphere is of radius 5 cm. What is the surface area of the sphere?
Option 1: $100 \pi \;\mathrm{cm^2}$
Option 2: $150 \pi \;\mathrm{cm^2}$
Option 3: $200 \pi\;\mathrm{cm^2}$
Option 4: $120 \pi\;\mathrm{cm^2}$
Correct Answer: $100 \pi \;\mathrm{cm^2}$
Solution : The surface area $A$ of a sphere where $r$ is the radius of the sphere. $A = 4 \pi r^2$ Substituting $r$ = 5 cm into the formula gives: $A = 4 \pi (5)^2 = 100 \pi \, \text{cm}^2$ Hence, the correct answer is $100 \pi \, \text{cm}^2$.
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Question : The height and curved surface area of a right circular cylinder are $7~\text{cm}$ and $70\pi~\text{cm}^2$. Its total surface area is:
Option 1: $140 \pi~\text{cm}^2$
Option 2: $150 \pi~\text{cm}^2$
Option 3: $180 \pi~\text{cm}^2$
Option 4: $120 \pi~\text{cm}^2$
Question : When the radius of a sphere is increased by 5 cm, its surface area increases by 704 cm2. The diameter of the original sphere is _________. (Take $\pi=22 / 7$ )
Option 1: 8.2 cm
Option 2: 6.8 cm
Option 3: 5.2 cm
Option 4: 6.2 cm
Question : The radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:
Option 1: 200$\pi$
Option 2: 120$\pi$
Option 3: 136$\pi$
Option 4: 128$\pi$
Question : The total surface area of a cone whose radius is 3 cm and height is 4 cm is:
Option 1: $\frac{425}{7} \mathrm{~cm}^2$
Option 2: $\frac{501}{9} \mathrm{~cm}^2$
Option 3: $\frac{475}{8} \mathrm{~cm}^2$
Option 4: $\frac{528}{7} \mathrm{~cm}^2$
Question : What will be the difference between the total surface area and the curved surface area of a hemisphere having a 4 cm diameter in cm2?
Option 1: $5\pi $
Option 2: $8\pi $
Option 3: $4\pi $
Option 4: $4.4\pi $
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