Cylinder A has a diameter of 7 cm and a height of 14 cm, while cylinder B has a diameter of 14 cm and a height of 7 cm. To find the volume of each cylinder, you can use the formula:
volume = πr^2h
where "r" is the radius of the base of the cylinder, "h" is the height of the cylinder, and "π" is a constant approximately equal to 3.14.
If we plug in the values for the radius and height of each cylinder, we get:
For cylinder A: volume = π * (7/2)^2 * 14 = approximately 153.94 cm^3
For cylinder B: volume = π * (14/2)^2 * 7 = approximately 301.88 cm^3
This shows that cylinder B has a greater volume than cylinder A.
To find the surface area of each cylinder, you can use the formula:
surface area = 2πr^2 + 2πrh
where "r" is the radius of the base of the cylinder, "h" is the height of the cylinder, and "π" is a constant approximately equal to 3.14.
If we plug in the values for the radius and height of each cylinder, we get:
For cylinder A: surface area = 2π * (7/2)^2 + 2π * (7/2) * 14 = approximately 299.44 cm^2
For cylinder B: surface area = 2π * (14/2)^2 + 2π * (14/2) * 7 = approximately 476.16 cm^2
This shows that cylinder B also has a greater surface area than cylinder A.