If a 150 cubic centimeter iron block is completely immersed in a cylindrical container with water, and the bottom diameter of the cylindrical container is 10 cm, then Process to calculate What's the height of the rise of the water? (the number obtained keeps the whole number)

If a 150 cubic centimeter iron block is completely immersed in a cylindrical container with water, and the bottom diameter of the cylindrical container is 10 cm, then Process to calculate What's the height of the rise of the water? (the number obtained keeps the whole number)


The formula of cylindrical volume is: bottom area multiplied by height, that is: volume = π xrxh
R = 5 cm
H = 150 / (3.14x5) = 1.91cm
A brief answer



Fill a square container with water, which is 6cm long and 6cm wide, into a cuboid water tank, which is 12cm long, 6cm wide and 5cm high______ Cm


6 × 6 × 6 = 36 × 6 = 216 (cubic centimeter) 216 / (12 × 6) = 216 / 72 = 3 (centimeter) answer: the water surface is 3cm high



In the fight against the Wenchuan earthquake, Wuhan red cross organized 20 cars; According to the plan, all 20 vehicles will be loaded. Each vehicle can only carry one kind of disaster relief materials and must be filled. According to the information in the table below, answer the following questions. Material type: water drugs and daily necessities each vehicle carries 654 tons, and the required freight is 120160100 yuan The number is x, and the number of vehicles carrying drugs is y. The formula shows how many tons of materials are transported by 20 vehicles at a time? (2) When x = 6, y = 8, calculate the total freight of this batch of materials


(1) According to the meaning of the question: there are (20-x-y) vehicles carrying daily necessities, then the total transportation cost of the 20 vehicles is: 6x + 5Y + 4 (20-x-y) = 6x + 5Y + 80-4x-4y = 2x + y + 80 (tons); (2) according to the meaning of the question: the total transportation cost of this batch of materials is: 120 × 6x + 160 × 5Y + 100 × 4 (20-x-y) = 720x + 800Y + 8000-400x-400y = 320x + 400Y + 8000 (yuan), when x = 6, y = 8, the original formula is 320 × 6 + 40 0 × 8 + 8000 = 13120 yuan



How many cubic meters is a ton of stone


According to the density of 1500kg / m ^ 3, that is equal to 0.67M ^ 3



2X of 3 + x-4 of 1-2 = 5x of 1 + 6)


2X of 3 + x-4 of 1-2 = 5x of 1 + 6
Multiply both sides by six at the same time, and you get
2(2x+1)-3(x-4)=6+5x
4x+2-3x+12=6+5x
4x=8
The solution is x = 2



Cut the 8 decimeter high cylinder into an approximate cuboid with equal base, and increase the surface area by 48 square decimeters. How much is the volume of the cylinder
Why is the width of this cut cuboid the radius of the bottom of the cylinder,


First answer your question: look carefully, the bottom of the cuboid is the bottom of the cylinder, just like the previous cut circle, look carefully, you will find that it is the radius
In answer to the question: extra surface area = 2 rectangles = 2 × radius × height = 48 (you need to draw a picture to find that you can mark the same part with shadow), radius = 48 △ 2 △ 8 = 3 decimeters, volume = π × R × R × H = 3.14 × 3 × 3 × 8 = 226.08



From the 12 numbers of 1, 2, 3 and 12, choose any 7 numbers, among which there are at least several pairs of numbers whose difference is equal to 6?


They were divided into 6 groups according to (1,7) (2,8) (3,9)... (6,12)
Take any 7, at least 2 in the same group, that is, the difference is 6
So there is at least one pair of 7 numbers whose difference is equal to 6



1. There are two steel pipes. The first steel pipe is 54 meters long and the second steel pipe is 50 meters long. After using the same length of two steel pipes, the remaining length of the second steel pipe is seven ninths of the remaining length of the first steel pipe. How many meters are left after using one section?
2. There is a bookshelf with two layers of books. The ratio of the number of books on the upper layer to the number of books on the lower layer is 5:6. After taking 30 books from the upper layer to the lower layer, the ratio of the number of books on the upper and lower layers is 3:4. How many original books are there on the upper and lower layers


(1)54-50=4 4/(1-7/9)=18
(2) If the number of books in the upper layer is reduced by 5 / 11-3 / 7 = 2 / 77, the original total number of books is 30 / 2 * 77 = 1155, the upper layer is 1155 * 5 / 11 = 525, and the lower layer is 1155 * 4 / 11 = 630



70% of a number is 1 more than 90% of 5 / 6. What's the number?


Let this number be X. according to the meaning of the problem, the equation is as follows
70%x - 5/6 × 90% = 1
The solution is x = 2.5
A: the number is 2.5



If a / B is a rational number, define a new operation "*" a * b = 2Ab + 1, for example: (- 3) * 4 = 2 × (- 3) × 4 + 1 = - 23
3*(-5);[3*(-5)]*(-6)
If a and B are rational numbers, define a new operation "*" a * b = 2Ab + 1, for example: (- 3) * 4 = 2 × (- 3) × 4 + 1 = - 23


A * b = 2Ab + 1
3*(-5)=2 x 3 x (-5)+1=-29;
[3*(-5)]*(-6)=[2 x 3 x (-5)+1]*(-6)
=(-29)*(-6)=2 x (-29) x (-6)+1=349