Question

Two pillars have been delivered for the support of a shade structure in the backyard. They are both 10 feet tall, but unfortunately, the makers of the pillars did not create the same-shaped pillars. In two to three sentences, describe steps you can take to determine whether the pillars have the same volume.

A. Measure the diameter of each pillar and calculate the volume using the formula for the volume of a cylinder.

B. Find the radius of each pillar and use the formula for the volume of a cone to calculate their volumes.

C. Determine the shape of each pillar and apply the corresponding formula for volume calculation.

D. Use water displacement to measure the volume of each pillar in a container and compare the results.

Answer 1

To determine whether the pillars have the same volume, you can measure the diameter and use the formula for the volume of a cylinder or cone. Alternatively, you can determine the shape of each pillar and apply the corresponding formula. Water displacement can also be used.

Step-by-step explanation:

To determine whether the pillars have the same volume, you can:

1. Measure the diameter of each pillar and calculate the volume using the formula for the volume of a cylinder, V = πr2h.
2. Find the radius of each pillar and use the formula for the volume of a cone, V = (1/3)πr2h, since a cone is a special case of a cylinder.
3. Determine the shape of each pillar and apply the corresponding formula for volume calculation.

Option D, using water displacement to measure the volume of each pillar in a container and comparing the results, is also a valid method.

Answer 2

To determine whether the pillars have the same volume, you can measure the diameter and use the formula for the volume of a cylinder or cone. Alternatively, you can determine the shape of each pillar and apply the corresponding formula. Water displacement can also be used.

Step-by-step explanation:

To determine whether the pillars have the same volume, you can:

1. Measure the diameter of each pillar and calculate the volume using the formula for the volume of a cylinder, V = πr2h.
2. Find the radius of each pillar and use the formula for the volume of a cone, V = (1/3)πr2h, since a cone is a special case of a cylinder.
3. Determine the shape of each pillar and apply the corresponding formula for volume calculation.

Option D, using water displacement to measure the volume of each pillar in a container and comparing the results, is also a valid method.