Question : The radius of the base of a cylinder is 14 cm and its volume is 6160 cm3. The curved surface area (in cm2) is: (Take $\pi=\frac{22}{7}$)
Option 1: 778
Option 2: 880
Option 3: 660
Option 4: 940
Correct Answer: 880
Solution : The volume of a cylinder, $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height. ⇒ $h = \frac{V}{\pi r^2}$ Given that $V = 6160 \, \text{cm}^3$, $r = 14 \, \text{cm}$, and $\pi = \frac{22}{7}$ $\therefore h = \frac{6160}{\frac{22}{7} \times 14^2} = 10 \, \text{cm}$ The curved surface area (CSA) of a cylinder $= 2\pi rh$ $= 2 \times \frac{22}{7} \times 14 \times 10 = 880 \, \text{cm}^2$ Hence, the correct answer is 880.
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Question : The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm2. Its volume (in cm3) is: (Take $\pi=\frac{22}{7}$)
Option 1: 3080
Option 2: 1078
Option 3: 6160
Option 4: 9240
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 curved surface area of a solid cylinder of height 15 cm is 660 cm2. What is the volume (in cm3) of the cylinder? $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 2060
Option 2: 2540
Option 3: 2310
Option 4: 3210
Question : The height of a cylinder is $\frac{2}{3}$rd of its diameter. Its volume is equal to the volume of a sphere whose radius is 4 cm. What is the curved surface area (in cm2) of the cylinder?
Option 1: $\frac{112}{3} \pi$
Option 2: $32 \pi$
Option 3: $\frac{128}{3} \pi$
Option 4: $40 \pi$
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
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