Answer:
Cylinder A: 3.58 m^3, cylinder B: 8.72 m^3, cylinder B has the greater volume
Step-by-step explanation:
Volume of a cylinder [tex]V=\pi r^2h[/tex] r is the radius, h is the height.
Cylinder A: The circumference is given, C = 3. Circumference is found by the formula [tex]C=2 \pi r[/tex]. Replace C with 3 and solve for r so it can be used in the volume formula.
[tex]3=2\pi r\\3=2(3.14)r\\3=6.28r\\r=3 \div 6.28 \approx .4777[/tex]
Volume: [tex]V=(3.14)(.4777)^2(5) \approx 3.58[/tex] cubic meters
Cylinder B:
[tex]C=2\pi r\\5=2(3.14)r\\r=5 \div 6.28 \approx .7962\\\\V=\pi r^2h\\ V=(3.14)(.7962)^2(3) \approx 8.72[/tex] cubic meters
