Okay, here we have this:
Considering the provided cylinder we are going to find the lateral area and the volumen, so we are going to use the following formula:
LA=2piRH
V=pi(r)²(h)
And, in this case we have the R is 42.2 cm and H is 85.7 cm. Replacing we obtain:
LA=2pi(42.2 cm)(85.7 cm)
LA=22723.39 cm²
V=pi(r)²(h)
V=pi(42.2 cm)²(85.7 cm)
V=479463.55 cm³
Finally we obtain that the lateral surface area is 22723.39 cm² and the volume is 479463.55 cm³ rounded to the nearest hundredth.