Volume Cylinder Cone

Volume is how much three-dimensional space a substance (solid, liquid, gas, or plasma) or shape occupies or contains, often quantified numerically using the SI derived unit, the cubic metre. (Source - Wikipedia)

The volume of cylinder and cone can be easily calculated using the formulas.

In this article of volume cylinder cone, we are going to discuss about finding volume of cylinder and volume of cone using their respective formulas.

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Volume of Cylinder:

Formula:

Volume of cylinder = `pi` r2 h cubic units.

where r ----> radius of cylinder

h ----> height of cylinder

Example problems:

Example 1:

Find the volume of cylinder given the radius is 10 cm and height is 14 cm

Solution:

Volume of cylinder = `pi` r2 h cubic units

= (3.14) * 102 * 14

=  3.14 * 100 * 14

=  4396  cm3

Example 2:

Find the volume of cylinder given the radius is 13 cm and height is 15 cm

Solution:

Volume of cylinder = `pi` r2 h cubic units

= (3.14) * 132 * 15

=  3.14 * 169 * 15

=  7959.9  cm3

Practice problems:

1) Find the volume of cylinder given the radius is 7 cm and height is 9.25 cm

Answer: 1423.21 cm3

2) Find the volume of cylinder given the radius is 13 cm and height is 17.25 cm

Answer: 9153.89 cm3

Volume of Cone:

Formula:

Volume of cone = 1/3 `pi` r2 h cubic units

where r ----> radius of cone

h ----> height of cone

Example problems:

Example 1:

Find the volume of cone given the radius is 8 cm and height is 13 cm.

Solution:

Volume of cone = 1/3 `pi` r2 h cubic units.

= 1/3  (3.14) * 82 * 13

=  0.33 * 3.14 * 64 * 13

=  870.83 cm3

Example 2:

Find the volume of cone given the radius is 21 cm and height is 24 cm.

Solution:

Volume of cone = 1/3 `pi` r2 h cubic units.

= 1/3  (3.14) * 212 * 24

=  0.33 * 3.14 * 441 * 24

=  10967.14 cm3

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Practice problems:

1) Find the volume of cone given the radius is 24 cm and height is 26 cm.

Answer: 15674.88 cm3

2) Find the volume of cone given the radius is 11 cm and height is 17 cm.

Answer: 2152.99 cm3