Question

16. If the height of a cylinder triples and its radius becomes one-third, how
does the lateral surface area of the cylinder change? *​

Answer 1

Step-by-step explanation:

If the radius height of a cylinder is tripled, what effect does this have on the cylinder’s volume?

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Thanks for A2A

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