Question

(please show work) offering 24 points !

1. A soccer team takes water for its games in a cylindrical container that has the dimensions shown in the figure below
the radius = to 9 in and height of 36 in.

a.) What is the exact surface area of the container?

b.) What is the approximate surface area of the container? Use 3.14 for pie.

C.) What is the exact volume of the container?

D.) What is the approximate volume of the container? Use 3.14 for pie

Answer 1

V=hpir^2
SA=2pir^2+2hpir


a.
SA=2pi9^2+2*36pi9
SA=2pi81+72pi9
SA=162pi+648pi
SA=810pi in^2


b.
aprox pi=3.14
810*3.14=2542.4cm^2


c.
V=36pi9^2
V=36pi81
V=2916pi in^3

d. 3.14=pi
2916*3.14=9156.24 in^3