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Please answer the question - BRAINLIEST AND 35 POINTS!!!!!!

A right cylinder has a radius of 6 cm and a height of 4 cm.

Answer the following questions and make sure to show all your work.

(a) Find the Surface Area of the cylinder.

(b) Find the Volume of the cylinder.

(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?

1. Doubling the radius to 12 cm, while the height remains 4 cm.

-OR-

2. Tripling the height to 12 cm, while the radius remains 6 cm.

Sagot :

linandrew41

(a) The surface area of the cylinder is

                 [tex]2\pi r(r+h) = 2\pi *6*(6+4) = 376.991\\[/tex]  square centimeters

(b) The Volume of the cylinder is

                 [tex]\pi r^{2} h = \pi (6^{2} )*4 =452 .389[/tex]  cubic centimeters

(c)  The more volume option is choice 1.

             [tex]\pi r^{2} h = \pi (12^{2} )*4 = 1809.557\\\\\pi r^{2} h = \pi (6^{2} ) *12 = 1357.168\\[/tex]

Hope that helps!

313rajsukh

Answer:

(a) The surface area of the cylinder is

   

2πr(r+h)=2π*6*(6+4)=376.991 square centimeters

(b) The Volume of the cylinder is

πr²h= π(6²)*4=452.389 cubic centimeters

(c)  The more volume option is choice 1.

πr²h= π(12²)*4=1809.557

πr²h= π(6²)*12=1357.168

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