Thursday, October 11, 2012

Volume of a Sphere Units


Introduction about volume sphere:

A sphere is a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball. Like a circle in two dimensions, a perfect sphere is completely symmetrical around its center, with all points on the surface laying the same distance r from the center point. Let us see how to calculate the volume of sphere.

(Source – Wikipedia)

Examples Problems in Volume of Sphere Calculator:

Volume of the sphere (V) = `4/3` p r ^ 3 cubic unit.

r = radius.

Volume of Sphere Units - Problems:

1. The sphere has the radius 20.3 cm. find the volume of the sphere.

Solution:

Given:

Radius (r) = 20.3 cm

Formula:

Volume of the sphere (V) = `4/3` p r ^ 3 cubic units

= `4/3` * 3.14 * (20.3) 3

=`4/3` * 3.14 * 8365.427

Volume of the sphere (V) = 35023.25

2. The sphere has the radius 15.2 cm. find the volume of the sphere.

Solution:

Given:

Radius (r) = 15.2 cm

Formula:

Volume of the sphere (V) = `4/3` p r ^ 3 cubic units

= `4/3` * 3.14 * (15.2) 3

=`4/3` * 3.14 * 3511.80

Volume of the sphere (V) = 14702.76 cm3

3. The sphere has the radius 11.25 cm. find the volume of the sphere.

Solution:

Given:

Radius (r) = 11.25 cm

Formula:

Volume of the sphere (V) = `4/3` p r ^ 3 cubic units

= `4/3` * 3.14 * (11.25) 3

=`4/3` * 3.14 * 1423.82

Volume of the sphere (V) = 5961.09 cm3

4. The sphere has the radius 3.4 cm. find the volume of the sphere.

Solution:

Given:

Radius (r) = 3.4 cm

Formula:

Volume of the sphere (V) = 4/3 p r ^ 3 cubic units

= 4/3 * 3.14 * (39.304) 3

=4/3 * 3.14 * 164.552

Volume of the sphere (V) = 164.552 cm3

5. The sphere has the radius 5.6 cm. find the volume of the sphere.

Solution:

Given:

Radius (r) = 5.6 cm

Formula:

Volume of the sphere (V) = `4/3 ` p r ^ 3 cubic units

= `4/3` * 3.14 * (5.6) 3

= `4/3` * 3.14 * 175.61

Volume of the sphere (V) = 735.22 cm3

I am planning to write more post on geometry help online, mathematical induction. Keep checking my blog.

Practice problems in volume of sphere:

1. The sphere has the radius 8.4 cm. Find the volume of the sphere.

Answer: 2481.45408 cm3

2. The sphere has the radius 6.6 cm. Find the volume of the sphere.

Answer: 1203.64992 cm3

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