If the volume of a cone is constant, the area of its bottom is inversely proportional to its height______ .

If the volume of a cone is constant, the area of its bottom is inversely proportional to its height______ .


The area of the bottom of a cone × height = volume × 3 (certain), is a product of a certain, the area of the bottom of a cone is inversely proportional to the height



The ratio of the height of the first cylinder to the height of the second cylinder is 5:11, and the volume of the second cylinder is 5:11
143 cubic decimeters. What is the volume of the first cylinder


Because the height ratio of the first cylinder to the second cylinder is 5:11, the volume of the second cylinder is 143 cubic decimeters,
So the volume of the first cylinder is 143 * 5 / 11 = 65 (cubic decimeter)



Let v be the volume of a cylinder and H be the height
(1) V is expressed by the formula containing H;
(2) When the volume v = 48cm3, the value of height h (accurate to 0.01cm) is obtained


Diameter = height = h
Radius = 1 / 2H
v=3.14(1/2h)^2h=3.14h^3/4
When v = 48cm3,
h^3=48*4/3.14=61.146496815287
H = 3.9396459441029 ≈ 3.94cm