What is the similarity and difference in finding the volume of cone, cylinder, and sphere?

Answer 1

Similarity:
- All three shapes involve using a specific mathematical formula to calculate their volumes.
- The volume for each shape is expressed in cubic units (e.g. cubic inches, cubic centimeters).
- The formulas for each shape involve the use of the radius or diameter.

Difference:
- The formulas used to calculate the volume of a cone, cylinder, and sphere are different. The formula for a cone is 1/3πr^2h, for a cylinder is πr^2h, and for a sphere is 4/3πr^3.
- The shapes have different dimensions - a cone has a circular base and a pointed top, a cylinder has two circular bases and a curved surface, and a sphere is a three-dimensional object with all points on its surface equidistant from its center.
- The shapes have different curved surfaces - a cone has a curved lateral surface, a cylinder has two curved lateral surfaces, and a sphere has a single continuous curved surface.

Answer 2

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Answer 3

Similarity:
- All three shapes involve a measurement of volume, which is expressed in cubic units (e.g. cubic inches, cubic centimeters).
- The formulas for each shape involve the use of the radius.

Difference:
- The formulas used to calculate the volume of a cone, cylinder, and sphere are different.
- Each shape has a different number of dimensions and shapes (a cone has a circular base, a cylinder has two circular bases, and a sphere is round).

Answer 4

can u put it in a sentence?

Answer 5

The similarity among finding the volume of a cone, cylinder, and sphere is that they all involve calculating volume in cubic units using the radius, while the difference lies in the distinct formulas and shapes of each object.