Question

A cylinder has a surface area of 339 square centimeters and a radius of 6 centimeters. Estimate the volume of the cylinder to the nearest whole number. Show all work!

Answer 1

SA=2hpir+2pir^2=2pir(h+r)
V=hpir^2

SA=339
r=6

339=2pir(h+r)
339=2pi3(h+3)
339=6pi(h+3)
divide both sides by 6pi
56.5/pi=h+3
minus 3 both sides
(56.5/pi)-3=h
(56.5-3pi)/pi=h
v=hpir^2
v=((56.5-3pi)/pi)(pi)(6)^2
v=(56.5-3pi)(36)
v=2034-108pi
use pi=3.141592
v=1694.7079934123023302460345146058
round
1695 cubic cm