Cross Sections and Volume

Front

What shape will the vertical cross-section of a cylinder be?

Back

Rectangle

Front

What shape will the horizontal cross-section of a sphere be?

Back

Circle

Front

A rectangle is rotated around the x-axis forming a cylinder. If the diameter is 3 m and the height is 3 m, what is the approximate volume of the cylinder?

Back

21.2 m³

Front

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm.

Back

31.4 cm³

Front

A triangle is rotated around the y-axis forming a cone. What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Front

If a cone has a radius of 4 m and a height of 9 m, what is its volume?

Back

V = 48π m³ or approximately 150.8 m³

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

If a cylinder has a radius of 3 cm and a height of 7 cm, what is its volume?

Back

V = 63π cm³ or approximately 197.82 cm³

Front

What is the relationship between the cross-section of a solid and its volume?

Back

The cross-section can help determine the volume by integrating the area of the cross-section along the height.

Front

What shape will the cross-section of a cone be if cut parallel to the base?

Back

Circle