A cylinder has a height of 10 yards and a radius of 3 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Step-by-step explanation:
If you have ever seen a can of soda, you know what a cylinder looks like. A cylinder is a solid figure with two parallel circles of the same size at the top and bottom. The top and bottom of a cylinder are called the bases. The height h of a cylinder is the distance between the two bases. For all the cylinders we will work with here, the sides and the height, h , will be perpendicular to the bases.
A cylinder has two circular bases of equal size. The height is the distance between the bases.
Rectangular solids and cylinders are somewhat similar because they both have two bases and a height. The formula for the volume of a rectangular solid, V = B h , can also be used to find the volume of a cylinder. For the rectangular solid, the area of the base, B , is the area of the rectangular base, length × width. For a cylinder, the area of the base, B , is the area of its circular base, π r 2 . The image below compares how the formula V = B h is used for rectangular solids and cylinders.
Seeing how a cylinder is similar to a rectangular solid may make it easier to understand the formula for the volume of a cylinder.
To understand the formula for the surface area of a cylinder, think of a can of vegetables. It has three surfaces: the top, the bottom, and the piece that forms the sides of the can. If you carefully cut the label off the side of the can and unroll it, you will see that it is a rectangle. See the image below.
By cutting and unrolling the label of a can of vegetables, we can see that the surface of a cylinder is a rectangle. The length of the rectangle is the circumference of the cylinder’s base, and the width is the height of the cylinder.
The surface area of a cylinder with radius r and height h , is
S = 2 π r 2 + 2 π r h
Step-by-step explanation:
Answer:1047.20
Step-by-step explanation: