SSC (Marathi Semi-English) 10thMaharashtra State Board
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Choose the Correct Alternative Answer for Each of the Following Questions.(5) the Curved Surface Area of a Cylinder is 440 Cm 2 and Its Radius is 5 Cm. Find Its Height. - SSC (Marathi Semi-English) 10th - Geometry

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Question

Choose the correct alternative answer for each of the following questions.

(5) The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.

 

  • (A)  \[\frac{44}{\pi}\] cm  

     
  •  (B) 22 \[\pi\] CM 

     

  • (C) 44 \[\pi\] CM 

  • (D) \[\frac{22}{\pi}\] cm 

     

Solution

(5) Radius of the cylinder, r = 5 cm
Let the height of the cylinder be h cm.
Curved surface area of the cylinder = 440 cm2

\[\therefore 2\pi  h = 440\]
\[ \Rightarrow h = \frac{440}{2\pi r}\]
\[ \Rightarrow h = \frac{440}{2\pi \times 5} = \frac{44}{\pi} cm\]

Thus, the height of the cylinder is \[\frac{44}{\pi}\]cm. 

 
  Is there an error in this question or solution?
Solution Choose the Correct Alternative Answer for Each of the Following Questions.(5) the Curved Surface Area of a Cylinder is 440 Cm 2 and Its Radius is 5 Cm. Find Its Height. Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.
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