Question

Need some help with this one.

Answer 1

Cylinder A: 3.58 m^3, cylinder B: 8.72 m^3, cylinder B has the greater volume

Explanation:

Volume of a cylinder
`V=\pi r^2h` r is the radius, h is the height.

Cylinder A: The circumference is given, C = 3. Circumference is found by the formula
`C=2 \pi r`. Replace C with 3 and solve for r so it can be used in the volume formula.

`3=2\pi r\\3=2(3.14)r\\3=6.28r\\r=3 / 6.28 \approx .4777`

Volume:
`V=(3.14)(.4777)^2(5) \approx 3.58` cubic meters

Cylinder B:

`C=2\pi r\\5=2(3.14)r\\r=5 / 6.28 \approx .7962\\\\V=\pi r^2h\\ V=(3.14)(.7962)^2(3) \approx 8.72` cubic meters