Volume: about 1767.1in.^3 Surface Area: about 824.7in.^2
Practice makes perfect
We are given that a cylinderical drum has the following dimensions.
We are asked to find the volume and surface area of the drum. Let's start with the volume.
Finding the Volume
The volume of a cylinder with a radius r and height h can be calculated by the following formula.
V=π r^2 h
In this case, we are given a cylinder with a diameter of 15 inches and a height of 10 inches. To find the radius, we can divide the diameter by 2.
The volume of the drum is about 1767.1 cubic inches.
Finding the Surface Area
Let's start by recalling that the surface area of a cylinder is the lateral area plus the area of the two circular bases. To calculate the surface area of a cylinder, we can use the following formula.
S=2π rh+2π r^2
In this formula, r is the radius of the base and h is the height of the cylinder. We can substitute the height and the radius of the drum into the formula and calculate the surface area. Let's do it!
