Answer:
Original cylinder:
Exact: [tex] V = 243 \pi~in.^3 [/tex]
Approximate: [tex] V = 763.4~in.^3 [/tex]
Double height cylinder:
Exact: [tex] V = 486 \pi~in.^3 [/tex]
Approximate: [tex] V = 1526.8~in.^3 [/tex]
Step-by-step explanation:
Original cylinder:
[tex] V = \pi r^2 h [/tex]
[tex]V = \pi \times (9~in.)^2 \times 3~in.[/tex]
Exact: [tex] V = 243 \pi~in.^3 [/tex]
Approximate: [tex] V = 763.4~in.^3 [/tex]
Cylinder with the height doubled:
[tex] V = \pi r^2 h [/tex]
[tex]V = \pi \times (9~in.)^2 \times 6~in.[/tex]
Exact: [tex] V = 486 \pi~in.^3 [/tex]
Approximate: [tex] V = 1526.8~in.^3 [/tex]