Warm-up 1/27/2023: Volume

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the formula for the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Front

What is the volume of a rectangular prism?

Back

Volume = lwh, where l is length, w is width, and h is height.

Front

How do you find the volume of an object with an irregular shape?

Back

Use water displacement method: submerge the object in water and measure the volume of water displaced.

Front

What is the unit of volume in the metric system?

Back

Cubic meters (m³) or liters (L).

Front

What is the unit of volume in the imperial system?

Back

Cubic feet (ft³) or gallons.

Front

If the radius of a sphere is doubled, how does the volume change?

Back

The volume increases by a factor of 8.

Front

What is the relationship between the volume of a cylinder and its height?

Back

Volume is directly proportional to height; if height increases, volume increases.

Front

What is the volume of a cube with a side length of 3 cm?

Back

Volume = 3³ = 27 cm³.