There is a difference of 16 cubic meters between the volume of a cylinder and that of a cone with equal base and height. What are the volumes of a cylinder and a cone?

There is a difference of 16 cubic meters between the volume of a cylinder and that of a cone with equal base and height. What are the volumes of a cylinder and a cone?


16 △ 2 = 8 M3 Volume of cone
8 × 3 = 24 M3 Volume of cylinder



If the sum of the top and bottom of the isosceles trapezoid ABCD is 4, and the acute angle between the two diagonals is 60 degrees, what is the area of the isosceles trapezoid
This is the second radical. I haven't learned trigonometric function in that chapter


Let the height passing through the diagonal be EF and the intersection of the diagonal be o
If AOB = 120 degrees, DAB = 30 degrees, then
AE / EO = Tan (30 degrees)
In the same way
CF / fo = Tan (30 degrees)
And AE + CF = 2
EO + fo = high
Trapezoid area = two bottom and * height / 2
=4 * 2 / Tan (30 degrees) / 2 = 4 / Tan (30 degrees) = 4 * radical (3)



1. A train carriage is a cuboid, its length is 4m, filled with a car of sand, after unloading, the sand will be piled into a cone-shaped sand pile, its bottom area is 5m
How many square meters is it? 2. The bottom area of a conical sand pile is 45.9 square meters, 2 meters. How many meters can a 3 cm thick subgrade be paved on a 12 m wide road surface with this pile of sand?
I already know the second question,


Let s be the bottom area of the cone
Then v = 1 / 3 * s * 5
Then I didn't know the size of your car, and I got another question
A carriage of a train is a cuboid. Its length is 4 meters, width is 1.5 meters, and height is 4 meters. It is filled with sand. After unloading, the sand is piled into a conical sand pile with a height of 5 meters. How many square meters is its bottom area?
The volume is 4 × 1.5 × 4 = 24 cubic meters
So the bottom area is 24 × 3 △ 5 = 14.4 square meters
Are you the same person-



If the sum of the top and bottom of the isosceles trapezoid ABCD is 4, and the acute angle between the two diagonals is 60 degrees, what is the area of the isosceles trapezoid?


Double root three



A train carriage is a cuboid. It is 4 meters long, 1.5 meters wide and 4 meters high. It is filled with a load of sand. After unloading, the sand is piled into a conical sand pile with a height of 5 meters. How many square meters is its bottom area?


4 × 1.5 × 4 ^ (13 × 5), = 24 ^ 53, = 24 × 35, = 14.4 square meters; a: its bottom area is 14.4 square meters



For a trapezoidal piece of paper, the bottom is 24cm, the top is 18cm, and the height is 14cm. Cut it into a triangular piece of paper as large as possible, and calculate the total area of the remaining scraps


24 × 14 △ 2 = 24 × 7 = 168 (square centimeter) a: the total area of the remaining scraps is 168 square centimeter



A freight car is a cuboid, its length is 4m, width is 2.5m, height is 2m, filled with 1 sand car, after unloading the sand pile into a 2m high cone, this is not the case


The volume of sand is 4x2.5x2 = 20 cubic meters, and the bottom area of sand pile is 20x3 △ 2 = 30 square meters



-For a trapezoidal piece of paper, the bottom is 24cm and the top is 18cm. Cut it into a triangular piece of paper as large as possible and calculate the total area of the remaining scraps


Gaone



The radius of a cone's bottom is 2M and its height is 3M. Its volume is () and the volume of a cylinder with the same height as its bottom is ()


The bottom radius of a cone is 2m, the height is 3M, its volume is (12.56m3), and the volume of a cylinder with the same height as its bottom is 37.68m3



The area of a trapezoid is 63 square meters, the height is 3 meters, and the bottom is 18 meters. How many meters is the top of the trapezoid?
What's the formula for finding the upper and bottom,


Let the top and bottom of trapezoid be X,
According to the trapezoidal area formula: (x + 18) * 3 / 2 = 63 trapezoidal area = (upper bottom + lower bottom) * height / 2
X = 24