Use the formula for the volume of a cone to find the missing dimension.
h≈ 8.6cm
Practice makes perfect
We want to find the missing dimension of the cone. We know that the cone has a diameter of 10 centimeters and a volume of 225 cubic centimeters. This means that the missing dimension is the height h. Let's first make a simplified diagram of the funnel.
We will use the formula for the volume of a cone to find the value of h.
V=1/3π r^2 h
First, we need to divide the diameter by 2 to get the radius of the circular base.
d/2=r ⇒ 10cm/2=5cm
Remember that we always need to check that the measurements are given in the same unit before we substitute them into the formula. In our diagram, we can see that both the radius and the volume are given in centimeters. Next, we will substitute 5 for r and 225 for V into the formula and solve for h.
The radius and the volume are given in centimeters. This means that the height must be in centimeters as well. The height of the cone is about 8.6 centimeters.
