Question

A cylindrical vase has a height of 17 in. and a radius of 3in.
Find the exact surface area in terms of pi.

Suppose a second base has double the radius, but the same surface area. What is the height of the vase?

Answer 1

pi*3^2= 9pi  
pi*6=6pi
6pi*17= 102pi
102pi+9pi= 111pi in. squared

pi*6^2=36pi
pi*12=12pi
36pi+12pi*x=111pi
12pi*x=75pi
x=6.25pi
x=Height btw