Question

1.

A. You have a cylinder with a height of 8 centimeters and a radius of 3 centimeters.
Find the surface area of the cylinder

B.If the radius remains the same but you double the height of the cylinder, will the
surface area also double?

C. If the height remains the same but you double the radius, will the surface area
also double?

And if you get this answer, please add an explanation...

Please
And thank you :-)

Answer 1

Answer:

          A.   A = 66π cm² ≈ 207.35 cm²

          B.  No, will not. {will be less than double}

          C.  No, will not. {will be more than double}

Step-by-step explanation:

A.

h = 8 cm,  r = 3 cm

A = 2×πr² + 2πr×h = 2πr×(r + h)

A = 2π×3×(3 + 8) =  66π cm² ≈ 207.35 cm²

B.

h = 2×8 = 16 cm ,      r = 3 cm ,   2×66π = 132π cm²

A = 2π×3×(3 + 16) =  114π cm² ≠ 132π cm²  

C.

h = 8 cm ,        r = 2×3 = 6 cm  ,   2×66π = 132π cm²

A = 2π×6×(6 + 8) =  168π cm² ≠ 132π cm²    

Answer 2

Answer:

a. 207.35 cm²

b. no it will be less than double

c. no it will be more than double