Given that the heights and the volumes of the two solids are equivalent, find the diameter of the cylinder. round your answer to the nearest hundredth.
a. 2.13
b. 2.31
c. 4.17
d. 4.27

We use the definition of the volumes of each figure in order to calculate the diameter of the cylinder. We calculate as follows:

V(cylinder) = V(rectangular prism)
πr²h = lwh

from the given, height of the cylinder = height of the prism

πr² = lw
πr² = 5.3(2.7)
r = 2.13

D=2r = 4.27 mm