The volume of an egg is measured with a cylindrical glass container and a conical glass container. It is known that there is the same amount of water in the two containers, and the area of the bottom of the cylinder The bottom radius of the cone container is 10 cm and the height is 20 cm. The water in the cone glass container is 12 cm high. Put the egg in the cone container and immerse it completely. The water level rises by 6 cm. Then put the egg in the cylinder container and immerse it completely. How many cm does the water rise?

The volume of an egg is measured with a cylindrical glass container and a conical glass container. It is known that there is the same amount of water in the two containers, and the area of the bottom of the cylinder The bottom radius of the cone container is 10 cm and the height is 20 cm. The water in the cone glass container is 12 cm high. Put the egg in the cone container and immerse it completely. The water level rises by 6 cm. Then put the egg in the cylinder container and immerse it completely. How many cm does the water rise?


This cone should be inverted. In the cone, the radius is 10 cm, the height is 20 cm, and the water is 12 cm. Its radius is 12 / 20 * 10 = 6. The volume of water is π * 6 ^ 2 * 12 / 3. After putting the egg in, its radius is (12 + 6) / 20 * 10 = 9. The volume of egg is π (9 ^ 2 * 18-6 ^ 2 * 12) / 3 = 1026 π / 3 = 342 π. The original cylinder is



Xiaohua uses a cylinder glass container and a cuboid glass container to measure the volume of an egg. It is known that the existing water in the two containers is 10 cm high, and the length, width and height of the cuboid glass container are 10 cm, 5 cm and 20 cm respectively. The bottom area of the cylinder container is 60 square cm, and the height is 20 cm. Xiaohua puts the egg in the cylinder container, and the water level rises by 2 cm How many centimeters will the water level rise when the egg is placed in a cuboid container?


60 × 2 = 120 cubic centimeter, 120 △ (10 × 5) = 2.4 cm; a: if you put the egg in the cuboid container, the water level will rise by 2.4 cm



Design and measure the volume of a small stone 1 tool: water gauge, cuboid or cylindrical glass container 2 measurement steps:
What are the measurement steps


1. Measure the length and width of the cuboid or the diameter of the bottom surface of the cylinder, and calculate the area of the bottom surface, recorded as: s;
2. Add a certain amount of water into the container (which can not pass the small stone), measure the height of the water surface at this time, and record it as: H1;
3. Put the small stone into the container, measure the height of the water surface at this time, and record it as: H2;
Volume of small stone = S. (h2-h1)



Fraction X / y, when the letters X and y satisfy________ The value is 1


Answer: when x = y



A and B two cars from a, B two opposite, a car to complete the whole journey to 6 hours, B to complete the whole journey to 8 hours, meet from the midpoint of 25km, find a, B two distance


We regard the distance between the two places as a whole. Car a takes 6 hours to travel the whole journey. Car a's speed is 1 / 6 of an hour. Car B's speed is 1 / 8 of an hour. The speed ratio of the two cars is (1 / 6) / (1 / 8) = 8 / 6. If we look at the whole journey in 6 hours or 8 hours, we know that the speed ratio is 8 to 6
The speed ratio of car a and car B is 8:6. They travel for the same time when they meet. The travel ratio of car a and car B is 8:6, 8 + 6 = 14, 8 / 14 and 6 / 14 are the ratio of the distance between the two places, and the ratio from the midpoint of the two places to the two places is 7 / 14. When the two cars meet, the ratio of the distance between the midpoint and the whole journey is 8 / 14 - 7 / 14 = 1 / 14, or 7 / 14 - 6 / 14 = 1 / 14, A. B the distance between the two places is 25x14 = 50x7 = 350km



Given that the domain of function FM (x) is a real number set R, satisfying FM (x) = 1, X ∈ M0, X ∉ m (M is a nonempty proper subset of R), there are two nonempty proper subsets a, B on R, and a ∩ B = ∞, then the range of F (x) = FA ∪ B (x) + 1fa (x) + FB (x) + 1 is ()
A. (0,23]B. {1}C. {12,23,1}D. [13,1]


When x ∈ Cr (a ∪ b), FA ∪ B (x) = 0, FA (x) = 0, FB (x) = 0, ∪ f (x) = 1. Similarly, when x ∈ B, f (x) = 1; when x ∈ a, f (x) = 1, so f (x) = 1, X ∈ A1, X ∈ B1, X ∈ Cr (a ∪ b), that is, {1}



On a map with a scale of 1:2000000, the distance between a and B is 30cm,
If the distance between a and B is 10 cm measured on another map, what is the scale of the other map


1:6000000



Given a function y = kx-k, where k = [a + b] / C = [B + C] / a = [C + a] / B, (a, B, C are real numbers), find this function


Y = 2x-2 or y = - X-1
k+1=(A+B+C)/A=(A+B+C)/B=(A+B+C)/C
Now we will discuss it in two ways
(1)A=B=C
Here k = 2
y=2x-2
(2)A+B+C=0
Then k = - 1
y=-x-1



23 of a is equal to 45 of B. the simplest integer ratio of a and B is______ If the number a is 30, then the number B is 30______ .


Number a × 23 = number B × 45, number A: number b = 45:23 = 12:10 = 6:5; number B: 30 △ 6 × 5 = 25



On the application of mean inequality
If we can use the formula of inequality on the denominator, how can we say 3 / (x + 4 / x)


Because x + 4 / x > = 2 * 2 = 4, the original formula