Calculate the volume of the solid under

In summary, calculating the volume of a solid requires measuring its length, width, and height, and using the formula V = lwh. The unit of measurement for volume can vary, but cannot be negative. For irregularly shaped solids, the displacement method can be used to find the volume. The volume of a solid can change due to physical changes or changes in environment.
  • #1
Whatupdoc
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Using geometry, calculate the volume of the solid under z = sqrt(9- x^2-y^2) and over the circular disk x^2 + y^2 <= (greater than or equal to sign) 9

how extactly would i do this? i have no clue and don't know where to start
 
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  • #2
Can you calculate the volume of a sphere?
 
  • #3
Do you notice that the radius of the given sphere and disk are the same? What does that tell you about the position of the disk in the sphere?
 

FAQ: Calculate the volume of the solid under

1. How do you calculate the volume of a solid?

To calculate the volume of a solid, you need to measure the length, width, and height of the solid. Then, use the formula V = lwh, where V represents volume, l represents length, w represents width, and h represents height.

2. What is the unit of measurement for volume?

The unit of measurement for volume can vary depending on the solid being measured. Some common units of measurement for volume include cubic centimeters (cm3), cubic meters (m3), and liters (L).

3. Can the volume of a solid be negative?

No, the volume of a solid cannot be negative. Volume is a measure of the amount of space a solid occupies and cannot be less than zero.

4. How do you find the volume of an irregularly shaped solid?

To find the volume of an irregularly shaped solid, you can use the displacement method. Submerge the solid in a known amount of water and measure the change in water level. This change in volume represents the volume of the irregularly shaped solid.

5. Can the volume of a solid change?

Yes, the volume of a solid can change. If the solid undergoes a physical change, such as melting or crushing, its volume can change. Additionally, if the solid is placed in a different environment with varying pressure or temperature, its volume can also change.

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