Question

Qestion:- If the height of a cylinder triples and its radius becomes one-third, how does the lateral surface area of the cylinder change? 


Option 1: It becomes one-third

Option 2: It becomes triple

Option 3: It remains the same

Option 4: It will increase by 3

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Answer 1

Explanation:

Just focus on the formula and suppose any value of height and cylinder and triple it.

Suppose radius =2 , height =3

Volume of cylinder = pi*r*r*h

Put the values

Pi*(2)(2)(3)

Pi(12)= volume of cylinder (small)

Now triple the radius and height

radius = 6 , height =9

Volume of cylinder(large)= pi(6)(6)(9)

Volume=324pi

Volume large/volume small= 324pi/12pi

Volume ratios = 27:1

By trippling the radius and height the volume will 27 times

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