All exponential functions can be written in many forms. Write the function
f
(
t
)
=
4700
e
0.16
t
f(t)=4700e
0.16t
in the form
f
(
t
)
=
a
(
2
)
t
k
f(t)=a(2)
k
t


. Round all coefficients to four decimal places.

Acone is placed inside a cylinder. the cone has half the radius of the cylinder, but the height of each figure is the same. the cone is tilted at an angle so its peak touches the edge of the cylinder’s base. what is the volume of the space remaining in the cylinder after the cone is placed inside it?