A volume calculation problem in Grade 6 The volume difference between the two cubes is 1200 cubic centimeters. If one side of each cube is taken as the bottom and the largest cone is machined, what is the volume difference between the two cones?

A volume calculation problem in Grade 6 The volume difference between the two cubes is 1200 cubic centimeters. If one side of each cube is taken as the bottom and the largest cone is machined, what is the volume difference between the two cones?


[thought navigation] many students will assume that the edge length of two cubes is a and B, and then express the relationship between the largest cone and the cube in alphabetic form to find out the volume difference between the two cones. In fact, there is another ingenious method: the largest circle area in the square accounts for 0.25 × 3.14 × 100% of the square area = 78.5%, The volume of the largest cylinder in the cube accounts for 78.5% of the volume of the cube. Multiply the volume difference of the two cubes by 78.5% to get the volume difference of the two largest cylinders. Then multiply by 0.3 to get the volume difference of the two largest cones
Therefore, the volume difference between the two cones is 1200 × 78.5% × 0.3 = 314 (cubic centimeter)



How long does it take to fly one light year in a spaceship with modern human technology?


Light is 300000 kilometers per second, and the fastest speed of human spaceship is only 167 kilometers per second, which is nearly 20000 times higher than that of other spaceships



The ratio of a circle to a circle is called PI


Perimeter and diameter



Calculate ∫ (subscript will not be marked) y ^ 2DX + Z ^ 2dy + x ^ 2dz, where (subscript) is the stranded wire (a > 0, z > = 0) of spherical x ^ 2 + y ^ 2 + Z ^ 2 = a ^ 2 and cylindrical x ^ 2 + y ^ 2 = ax, and the curve is counterclockwise when viewed from the positive direction of X


See picture



What does (x) of the negative power of F mean, what formula does it have, and how to calculate it
What's the relationship with the image of F (x)


It represents the inverse function of F (x), which is just a sign and has no formula
His image is symmetric to the image of F (x) with respect to the line y = X



If a is an integer, then the cube of a minus a can be divided by 6,
If a is an integer, then the cube of a minus a can be divided by 6,


a³-a
=a(a²-1)
=a(a+1)(a-1)
If a, a + 1 and A-1 are not zero
One of the three consecutive integers must be a multiple of 3, and one must be a multiple of 2
So the product is a multiple of six
If one of a, a + 1, A-1 is 0, then the product is 0 and can also be divisible by 6



It is known that P is the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1, vector Pf1 * PF2 = 3, Tan angle with F1F2 as the focus
F1pf2 = root 3, if the focal length is root 7, calculate the eccentricity


Let the angle f1pf2 be θ, Tan θ = root 3 and (Tan θ Λ 2 + 1) cos θ Λ 2 = 1, so cos θ = 1 / 2, then let Pf1 = x, PF2 = y
If vector Pf1 * PF2 = 3, then xycos θ = 3, so xy = 6 and X + y = 2A, according to the cosine theorem △ pf1f2
▏ F1F2 ▕Λ2 = x Λ 2 + y Λ 2 -- 2xycos θ, so 49 = (x + y) Λ2-3xy, so a Λ 2 = 67 / 4, a = follow 67 / 2
C = 7 / 2 e = C / a = 7 / 67
The specific operation steps should be like this, do not rule out the possibility of calculation error, hope to be able to adopt, thank you



16 = () + () = () + () 24 = () + () = () + () = () + ()


16=(11)+(5)=(3)+(13) 24=(11)+(13)=(19)+(5)=(7)+(17)
May I help you!



Finding the set of X that makes inequality loga (2x-3) 0, a ≠) 1 hold


When a > 1, that is, 0 < 2x-3 < 1, 3 / 2 < x < 2 can be obtained
When a < 1, i.e. 2x-3 > 1, X > 2 can be obtained
Let the inequality loga (2x-3) 0, a ≠) 1 hold the set of X {XLX > 2 (a < 1), 3 / 2 < x < 2 (a > 1)}



Why is the inverse scale function image centrosymmetric about the origin
The image of inverse scale function is hyperbola. Why is it centrosymmetric about the origin?
Please explain in detail that the language should be well organized


Because y = 1 / x, so - y = - 1 / x, (- y) = 1 / (- x),
The point on y = 1 / X satisfies (- y) = 1 / (- x), so it is centrosymmetric