The bottom area and volume of a cylinder and a cone are equal. If the cone is 18 meters high, how many meters is the cylinder high Completion

The bottom area and volume of a cylinder and a cone are equal. If the cone is 18 meters high, how many meters is the cylinder high Completion


The cylinder is 6 meters high



The volume of a cylinder is equal to that of a cone. The height of the cylinder is 18 cm. Its bottom area is three times that of the cone. How high is the cone?


Because the volume of the cone = the volume of the cylinder
So: when the bottom area is the same, the height of the cone is three times that of the cylinder
Also: the bottom area of a cylinder is three times that of a cone
Therefore: the height of cone = the height of cylinder × 3 × 3
18 × 3 × 3 = 162 (CM)



The circumference of the bottom area of the cylinder is 12.56 meters. What is the bottom area of a cone with the same height as its bottom?
Another question: the side area of a cylinder is 28.26 square centimeters, the diameter of its bottom is 10 centimeters, and how high is the cylinder?


C=2*3.14*r=28.26
r=4.5
The base area of cone with equal base and height s = 3.14 * r * r = 3.14 * 4.5 * 4.5 = 63.585 (M2)
A: the area of the base of the cone is 63.585 square meters
r=10/2=5
Side s = 2.2 * 2.5 * H = 14.5 * h
H = 28.26 / 31.4 = 0.9 (CM)
A: the height of the column is 0.9 cm