SOLUTION: A tube has the radius of 3cm and a height of 8cm, what is the surface of the tube

Question 616163: A tube has the radius of 3cm and a height of 8cm, what is the surface of the tube
Answer by dragonwalker(73) (Show Source): You can put this solution on YOUR website!
I don't want to confuse, but is it an open ended tube so there is only the body that actually has a surface area or is it a solid cylinder.
Rather than just giving a formula which you can get anywhere I will give you an approach that will show the logic.
To find the surface area of the middle without the two ends think of a paper towel roll. If you cut along and then opened it up you would end up with a rectangle where in this case the length would be 8cm and the width would be the circumference of the circle.
So first find the circumference by using the formula 2 r.
r=3 so the circumference is 6 = 18.85
So to get the area of the rectangle you multiply length by width as so
18.85 x 8.00 = 150.80 cm^2
If you need to add the surface of both ends then you just need to add the surface area of the two circles.
The formula to find one of the circles is

so x = 9
= 28.27
we have two circles so the total for both is 28.27 x 2 = 56.54
So add the two circles and the rectangle areas to get the total surface area of a solid tube:
150.80 + 56.54 = 207.34

RELATED QUESTIONS
An empty cylindrical glass tube has radius r cm and its height is 20cm. A plastic... (answered by addingup)

Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists (answered by Alan3354)

What's the volume of a tube 90cm x... (answered by Fombitz)

A television picture tube is 9cm longer than it is wide. If the perimeter of the tube is (answered by jorel1380)

Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists (answered by Alan3354)

what is the surface area of square prism with a base side of 3cm and height of 8cm (answered by Alan3354)

three spherical chocolate candies are tightly packed in a cylindrical tube. the radius of (answered by ikleyn)

what is the approximate surface area of a cardboard tube that is open at both ends, has a (answered by fcabanski)