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What is the volume of the pyramid?

What is the volume of the pyramid?-example-1

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Final answer:

The volume of a pyramid can be calculated using the formula V = (1/3)Ah, where A is the base area and h is the pyramid's height. For other solids like cylinders with parallel sides, the volume is V = πr²h.

Step-by-step explanation:

The question of 'What is the volume of the pyramid?' pertains to the subject of geometry, which is a branch of Mathematics. To calculate the volume of a pyramid, the formula used is V = (1/3)Ah, where A is the area of the base and h is the height of the pyramid. The area of the base depends on the shape of the base; for instance, if the base is square with side length s, the area is s². In the case of a cylinder, which has parallel sides, a different formula is used: V = πr²h, where r is the radius of the base and h is the height.

For example, to calculate the volume of a cylinder with a radius of 0.750 cm and a height of 5.25 cm, we use the formula V = πr²h = 3.142 × (0.750 cm)² × 5.25 cm = 9.278 cm³.

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