Question

A cylinder has a radius of 4 centimeters and a height of 12 centimeters. A smaller cylinder has linear dimensions that are one-fourth the dimensions of the larger cylinder. Compare the surface area of the smaller cylinder to the surface area of the larger cylinder.
How much smaller is the small cylinder than the large cylinder.
(round to the nearest hundredth square centimeter)

Answer 1

Answer:

A2=A1/16

Step-by-step explanation:

the  surface is A=2pi*r^2+2pi*r*h=2pi*r(r+h)

A1=2*pi*4*(4+12)=8*16 pi=128 pi=128*3.14=401.92 cm^2

r2=4/4=1cm

h2=12/4=3 cm

A2=2*pi*1(1+3)=2*4pi=8pi=8*3.14=25.12 cm^2

A2=A1/16