Cylinders Volume

Flashcards covering the key concepts, definitions, and formulas related to the volume of cylinders.

Cylinder

A solid with 2 circular faces and a rectangular body.

Volume of a cylinder

Calculated using the formula: V = ext{Area of the circular base} imes ext{height} or V = rac{22}{7}r^2h.

Radius (r)

The distance from the center of the circular base to the edge of the base.

Height (h)

The distance between the two circular faces of the cylinder.

Volume formula

V = ext{π}r^2h, where π is a constant approximately equal to 3.14.

Finding volume example

For a cylinder with radius 7 yd and height 8 yd, calculate: V = ext{π} (7^2)(8).

Finding radius example

Given volume 1693.32 cm³ and height 11 cm, find radius using the formula: r = ext{√}rac{V}{ ext{π}h}.

Finding height example

Given diameter 16 cm and volume 1407.43 cm³, find height using the formula: h = rac{V}{ ext{π}(r^2)} where r = rac{16}{2}.