Question : Determine the total surface area of a hemisphere closed at the bottom. Radius of the hemisphere is $\sqrt{\frac{25}{\pi}}$ unit.
Option 1: 75 unit2
Option 2: 70 unit2
Option 3: 60 unit2
Option 4: 50 unit2
Correct Answer: 75 unit2
Solution : Given, Radius of the hemisphere ($r$) = $\sqrt{\frac{25}{π}}$ unit Total Surface Area of the hemisphere = $3πr^2$ = $3\times \pi\times(\sqrt{\frac{25}{π}})^2$ = $3\times \pi\times({\frac{25}{π}})$ = 75 unit2 Hence, the correct answer is 75 unit2.
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Question : The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm²) of the hemisphere.
Option 1: $25 \pi$
Option 2: $\frac{75 \pi}{4}$
Option 3: $\frac{50 \pi}{4}$
Option 4: $\frac{25 \pi}{4}$
Question : What is the difference between the total surface area and the curved surface area of a cone whose radius is 35 cm? (Take $\pi=\frac{22}{7}$)
Option 1: 3850 cm2
Option 2: 3704 cm2
Option 3: 3750 cm2
Option 4: 3675 cm2
Question : The total surface area of a right circular cylinder is 1848 cm2. The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)
Option 1: 4312 cm3
Option 2: 3696 cm3
Option 3: 4002 cm3
Option 4: 4851 cm3
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 $
Question : The total surface area of a solid hemisphere is 1039.5 cm2. The volume (in cm3) of the hemisphere is: (Take $\pi=\frac{22}{7}$)
Option 1: 2425.5
Option 2: 2530.6
Option 3: 2525.6
Option 4: 2225.5
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