Cone:

When we talk about a cone the first thing that comes to our mind is an ice-cream,I'am sure we have all seen an ice-cream cone,now let us learn about the shape of a cone in the mathematical sense.
A cone is a three-dimensional geometric shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex.

Cylinder:

A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder.In this article we shall see how to calculate volume of cone and cylinder.Now that we have understood the meaning of cone and sphere let us look at the other aspects of this topic,basically now we will learn about the volume of a cone and sphere.

Volume of Cone:

Formula for volume of the cone (v) =1/3 π r2 h cubic units

V=volume of cone

r=radius

h=height

Example problems:

1. The cone has the radius = 3 cm and height = 7 cm. Find the volume of the cone.

Solution:

Given:

Radius (r) = 3 cm

Height (h) =7 cm

Formula:

The volume of the cone =1/3 x π x r2 x h cubic units

= 1/3 x 3.14 x (3)2 x 7

= 65.94

The volume of the cone = 65.94 cm3

2. The cone has the radius = 8 cm and height = 14 cm. Find the volume of the cone.

Solution:

Given:

Radius (r) = 8 cm

Height (h) = 14 cm

Formula:

The volume of the cone =1/3 x π x r2 x h cubic units

= 1/3 x 3.14 x (8)2 x 14

= 937.81

The volume of the cone = 937.81 cm3

Volume of Cylinder:

cylinder

Formula for volume of the cylinder (v) = π r2 h cubic units

V=volume of cylinder

r=radius

h=height

1. The cylinder has the radius r= 3 cm, h= 11 cm. Find the volume of cylinder.

Solution:

Given:

r=3 cm

h=11 cm

Formula:

The volume of the cylinder = π x r2 x h cubic unit

=3.14 x (3)2 x 11

= 310.86

The volume of the cylinder = 310.86 cm3



2. The cylinder has the radius r= 8 cm, h=13 cm. Find the volume of cylinder.

Solution:

Given:

r=8 cm

h=13 cm

Formula:

The volume of the cylinder = π x r2 x h cubic unit

=3.14 x (8)2 x 13

= 2612.48

The volume of the cylinder = 2612.48 cm3

Hope you like the above example of Cone and Cylinder.Please leave your comments, if you have any doubts.