Cylinders A and B are similar with the scale factor 3:5. What is the surface area and volume of cylinder B, given the following information about cylinder A

Question

Surface Area of cylinder A=95

Volume of cylinder A=136

 

Cylinder B is the larger cylinder

Answer 1

SA of a cylinder is 2XpiXrXh + 2XpiXrXr

V of a cylinder is pi X r X r X h

 

The scale factor implies that h(B) = 5/3 h(A)

and

r(B) = 5/3 r(A)

 

So for V

V(B) = (5/3)(5/3)(5/3)V(A)

 

and

SA(B) = (5/3)(5/3)SA(A)

 

(Just substitute 5/3 r or 5/3 h in the formulas at the top and then factor the (5/3)'s out)