Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.
Option 1: 2772 cm2 and 4158 cm2
Option 2: 3772 cm2 and 5158 cm2
Option 3: 4770 cm2 and 4238 cm2
Option 4: 3072 cm2 and 4058 cm2
Correct Answer: 2772 cm2 and 4158 cm2
Solution : Let the radius of the hemisphere be $r$. Given, its diameter, $2r=42⇒r=21$ $\therefore$ The curved surface area of a hemisphere $= 2\pi r^2=2×\frac{22}{7}×21^2=2772\ \text{cm}^2$ $\therefore$ The total surface area of a hemisphere $= 3\pi r^2=3×\frac{22}{7}×21^2=4158\ \text{cm}^2$ Hence, the correct answers are 2772 cm2 and 4158 cm2.
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Question : The total surface area of a solid hemisphere is 4158 cm2. Find its volume (in cm3).
Option 1: 462
Option 2: 9702
Option 3: 1848
Option 4: 19404
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 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 : The total surface area of a hemisphere is 462 cm2. The diameter of this hemisphere is:
Option 1: 28 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 14 cm
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
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