To calculate the volume of a cone, we can use the following formula. In this formula r is the radius, and h is the height of a cone.
V= 13Ï€ r^2 h
In our exercise we are given that the slant height of a cone is 5.6 centimeters and a radius is 1 centimeter.
Let's notice that a slant height, radius, and a height h form a right triangle. Let's focus on this triangle for a little bit.
As we can see, to calculate the height of the cone, we can use the Pythagorean Theorem. Let's write an equation according to this theorem.
h^2+1^2=5.6^2
Now let's solve this equation for h.
Note that, when solving the above equation, we only needed to consider the principal root because h is a positive number.
We found that the radius of the base is 1cm and we the height of the cone is approximately 5.5cm. Let's substitute these values into the volume formula.
