Question : What is the radius of a normal cylinder whose height is 21 cm and curved surface area is 1386 cm2?
Option 1: 10.5 cm
Option 2: 3.5 cm
Option 3: 7 cm
Option 4: 10 cm
Correct Answer: 10.5 cm
Solution : Given: Height($h$) = 21 cm Let the radius be $r$. Curved surface area = 1386 cm2 ⇒ $1386=2\pi r h$ ⇒ $1386=2\times\frac{22}{7}\times21\times r $ ⇒ $r=\frac{1386\times 7}{2\times 22\times21}$ ⇒ $r = 10.5~\text{cm}$ Hence, the correct answer is 10.5 cm.
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Question : The curved surface area of a cone whose base radius is 7 cm and slant height is 10 cm is:
Option 1: 280 cm2
Option 2: 250 cm2
Option 3: 300 cm2
Option 4: 220 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 is the total surface area of a solid right circular cylinder of radius 7 cm and height 8 cm?$(\pi=\frac{22}{7})$
Option 1: 560 cm2
Option 2: 660 cm2
Option 3: 850 cm2
Option 4: 760 cm2
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 : What is the curved surface area (in cm2) of a cylinder having a radius of base as 14 cm and height as 10 cm?
Option 1: 440
Option 2: 880
Option 3: 220
Option 4: 1320
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