Answer:
1) [tex]B=15in^{2},h=17in[/tex]
3) [tex]B=7.2in^{2},h=6.5in[/tex]
4) [tex]B=8.5in^{2},h=30in[/tex]
Step-by-step explanation:
1. You can calculate the volume of a cylinder with the following formula:
[tex]V=B*h[/tex]
Where [tex]B[/tex] is the area of the base and [tex]h[/tex] is the height.
2. Therefore, you only need to multiply the area of the base by the height in each option:
1) [tex]V_1=15in^{2}*17in=255in^{3}[/tex]
2) [tex]V_2=7.2in^{2}*6.5in=46.8in^{3}[/tex]
3) [tex]V_3=34in^{2}*7.5in=255in^{3}[/tex]
4) [tex]V_4=8.5in^{2}*30in=255in^{3}[/tex]
3. Therefore, the options 1), 3) and 4) have equal volumes.
