Solve Online Circular Cylinder

The cylinder is one of the most common  surface among the curvilinear surfaces. The circular cylinder is made of two circular bases and whose perimeter are connected by the infinite number of lines forming the lateral surface of the cylinder. The cylinder therefore forms a closed surface bounded by the bases on two sides and the lateral surface. In the following article we will see more on solve online circular cylinder in detail.

cylinder

More on solve online circular cylinder:

The cylinder is a closed three dimensional shape and has the volume. Also the area of the bases and the lateral surface contribute the total surface area of the cylinder. The general formula to describe the area and the volume of the cylinder are,

Total surface area = 2*Area of the base + Area of the curved surface

Volume of the cylinder = Area of the base*height of the cylinder

The volume and the area formula for the cylinder with radius r and height H are,

Total surface area = `2*pi*R^2 + 2*pi*R*H`

Volume of the cylinder = `2*pi*R^2*H`

Example problems on solve online circular cylinder:

1. For a right circular cylinder with the radius 4.5 cm and height 8.6 cm find the area and the volume.

Solution:

Total surface area = `2*pi*R^2 + 2*pi*R*H`

= `2*pi*5^2 + 2*pi*5*8`

= `50*pi + 80*pi`

= `130*pi`

= `408.4 cm^2`

Volume of the cylinder = `2*pi*R^2*H`

= `2*pi*5^2*8`

= `16*pi*25`

= `400*pi`

= `1256.6 cm^3`

2. For a circular cylinder with the radius 5.1 cm and height 8.2 cm find the are a and the volume.

Solution:

Total surface area = `2*pi*R^2 + 2*pi*R*H`

= `2*pi*5.1^2 + 2*pi*5.1*8.2`

= `26.01*pi + 83.64*pi`

= `109.65*pi`

= `426 cm^2`

Volume of the cylinder = `2*pi*R^2*H`

= `2*pi*5.1^2*8.2`

= `16.4*pi*26.01`

= `426.56*pi`

= `1340 cm^3`

Between, if you have problem on these topics free math problem solver online, please browse expert math related websites for more help on best books for aipmt 2013.

Practice problems on solve online circular cylinder:

1. For the right cylinder with radius 3.2 cm and height 9 cm. Find the area and the volume.

Answer: Total surface area = 245.3 cm2 and Volume = 579 cm3

2. For the right cylinder with radius 2.8 cm and height 12 cm. Find the area and the volume.

Answer: Total surface area = 208.7 cm2 and Volume = 447 cm3