The circumference of the bottom of a cylinder is three times that of a cone, and the height of a cylinder is one sixth of that of a cone Q: the volume of this cylinder is () times that of this cone

The circumference of the bottom of a cylinder is three times that of a cone, and the height of a cylinder is one sixth of that of a cone Q: the volume of this cylinder is () times that of this cone

Because the circumference of the bottom of a cylinder is three times that of a cone, the radius ratio is 3:1
Because the height of cylinder is one sixth of that of cone, the ratio of height is 1:6
So the volume ratio (3x3x1): (1x1x6x1 / 3) = 9:2
It's 9 / 2 = 4.5 times

Farmer Wang Dabo's family has a grain store. The circumference of the bottom of the column is 9.42 meters, the height is two meters, and the height of the cone is 0.6 meters. How many cubic meters is the volume of this grain ton

Cone radius = cylinder radius = 9.42 △ 2 △ 3.14 = 1.5m
Cylinder height = 2m
Cone height = 0.6m
Grain storage volume
=Cylinder volume + cone volume
=3.14 × 1.5 × 1.5 × 2 + 1 / 3 × 3.14 × 1.5 × 1.5 × 0.6
=15.543 M3

A granary composed of a cylindrical cone with a bottom diameter of 2M and a height of 1.5m and a cone height of 0.5m
What is the floor area of this granary?
What is the capacity of this granary?

Floor area = 3.14x (2 △ 2) &# 178; = 3.14m2
Cylinder volume = 3.14x1.5 = 4.71m3
Volume of conical part = 3.14x0.5 △ 3 ≈ 0.52m3
Granary volume = 4.71 + 0.52 = 5.23 cubic meters