Question : The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm2. What is the volume of this cylinder? [Use $\pi$ $\left.=\frac{22}{7}\right]$
Option 1: 1388 m3
Option 2: 0.001368 m3
Option 3: 0.1386 m3
Option 4: 0.01386 m3
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Correct Answer: 0.01386 m3
Solution : Given: Height = 10 cm Curved surface area = 1320 cm2 We know that, Curved surface area of cylinder = $2\pi r h$ ⇒ $1320=2\pi r h$ ⇒ $1320=2\times\frac{22}{7}\times r\times10$ ⇒ $r=21$ Now, Volume of cylinder = $\pi r^2 h$ $= \frac{22}{7}\times 21\times 21\times10$ $= 13860$ cm3 $=\frac{13860}{1000000}=0.01386$ m3 Hence, the correct answer is 0.01386 m3.
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Question : Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use $\pi=\frac{22}{7}$]
Option 1: 132 cm2
Option 2: 198 cm2
Option 3: 154 cm2
Option 4: 176 cm2
Question : The radius of a cylinder is 14 cm. If the height of the cylinder is four times of its radius, then what is the curved surface area of the cylinder?
Option 1: 5546 cm2
Option 2: 4928 cm2
Option 3: 4694 cm2
Option 4: 5214 cm2
Question : What will be the curved surface area of a cylinder having a radius of 20 cm and a height of 34 cm?(use $\pi$ = 3.14)
Option 1: 3245.7 cm2
Option 2: 4328.98 cm2
Option 3: 4270.4 cm2
Option 4: 4320.6 cm2
Question : What will the curved surface area of a cylinder with a radius of 10 cm and height of 20 cm? (use $\pi=3.14$)
Option 1: 1345 cm2
Option 2: 1453 cm2
Option 3: 1256 cm2
Option 4: 1234 cm2
Question : What is the height of a cylinder whose radius of base is 12 cm and volume is 19008 cm3? [Use $\pi=\frac{22}{7}$]
Option 1: 6 cm
Option 2: 24 cm
Option 3: 38 cm
Option 4: 42 cm
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