There are two cylinders with equal base area. The height of the first cylinder is 4 / 7 of that of the second. The volume of the first cylinder is 24 cubic centimeters There are two cylinders with the same base area. The height of the first cylinder is 4 / 7 of that of the second cylinder. The volume of the first cylinder is 24 cubic centimeters. How many cubic centimeters more is the volume of the second cylinder than that of the first cylinder? Ask this type of questions to explain~ Give me more math problems

There are two cylinders with equal base area. The height of the first cylinder is 4 / 7 of that of the second. The volume of the first cylinder is 24 cubic centimeters There are two cylinders with the same base area. The height of the first cylinder is 4 / 7 of that of the second cylinder. The volume of the first cylinder is 24 cubic centimeters. How many cubic centimeters more is the volume of the second cylinder than that of the first cylinder? Ask this type of questions to explain~ Give me more math problems


The volume of the cylinder is equal to the area of the bottom multiplied by the height. If two cylinders have the same area of the bottom, the ratio of their height is their volume ratio. Then the volume of the second bead = 24 / 4 / 7, which is 42
So the result is 42-24 = 18



The volume of a cylinder is 10 cm3, and the diameter of the bottom circle is equal to the height of the cylinder? (keep 2 significant numbers)


Suppose the radius of the bottom is r, then the height of the cylinder is 2R. From the meaning of the title, we get π R2 · 2R = 10, r = 35, π≈ 1.2cm



The perimeter of a cube's bottom is 32 cm, the sum of its edges is () cm, its surface area is () square cm, and its volume is () cubic cm


The perimeter of the bottom surface of a cube is 32 cm, the total edge length is (96) cm, the surface area is (384) square cm, and the volume is (512) cubic cm



There is a tin box, the bottom area is a cube with a circumference of 80 cm, the height is 8 cm, its cubature () cubic cm?


The bottom is square, the perimeter is 80, the side length is 20, and the bottom area is 400 square centimeters. The volume of the tin box is its volume = bottom area x height = 400x8 = 3200 cubic centimeters. Support



The lawn of the square is a rectangle, which is drawn on the design drawing with a scale of 1:4000. It is 4.5cm long and 2cm wide. How many square meters does the lawn actually cover?


The length of rectangle: 4.5 △ 14000 = 18000 (CM) = 180 (m), the width of rectangle: 2 △ 14000 = 8000 (CM) = 80 (m), the area of rectangle: 180 × 80 = 14400 (M2); answer: the actual area of lawn is 14400 square meters



A square board is sawed 8 cm and 5 cm at the same time. The area after sawing is 415 square cm less than the original square area. The side length of the original board is calculated


The overlapping area of the lower right corner in the figure: 8 × 5 = 40 (square centimeter); from the above analysis: side length × 5 + side length × 8 = 415 + 40 = 455 (square centimeter); the original side length of the board is: 455 ^ (5 + 8) = 455 ^ 13, = 35 (centimeter); answer: the original side length of the board is 35 centimeter



Cut the 36cm long wire into two equal sections, bend one section into a rectangle, and bend the other section into an isosceles triangle with a side length of 5cm
The area of a rectangle is equal to that of an isosceles triangle. How many centimeters is the length of each side of the rectangle?


There is an isosceles triangle with 5cm sides
1. The three sides of an isosceles triangle are 5, 5 and 8
2. The three sides of an isosceles triangle are 5, 6.5 and 6.5
According to the Pythagorean theorem, the height of an isosceles triangle can be calculated by the above method
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We need to consider all aspects



The 36cm long wire is cut into two equal lengths, one is folded into a rectangle, the other is folded into an isosceles triangle with one side 5cm,
If the area of the rectangle is equal to the area of the isosceles triangle, find the side length of the rectangle?


Multiple solutions, isosceles triangle one side is 5cm, may be the bottom or waist
When it is waist, the length of the bottom edge is 18-5 * 2 = 8cm, then the height of Pythagorean theorem is 3cm, that is, the area of triangle is 12cm & sup2;, and if the length of one side of rectangle is x, then x (9-x) = 12,
X = 3 / 2 * (3 + √ 5) or 3 / 2 * (3 - √ 5), and these two solutions are the lengths of two sides of a rectangle
When the base is 5cm, the waist is (18-5) / 2 = 6.5cm
According to the Pythagorean theorem, if the height of the bottom edge is 6, then the area of the triangle is 15cm & sup2; and if one side of the rectangle becomes y, then y (9-y) = 15,
Y = 1 / 2 * (9 + √ 21) or 1 / 2 * (9 - √ 21), and these two solutions are the lengths of the other two sides of the rectangle



Cut a 36 cm long wire into two parts, one is bent into a rectangle, the other is bent into an isosceles triangle with a side length of 5 cm
The area of the rectangle is equal to that of the isosceles triangle, and the side length of the rectangle is calculated


This problem can be discussed in two ways. When 5 is the base of an isosceles triangle, there is a cubic equation and a cubic equation. If 5 is the waist, there is no fixed solution



The 36cm long wire is cut into two equal sections, one is bent into a rectangle, the other is bent into an isosceles triangle with one side 5cm long


First of all, the isosceles triangle has two shapes. 5cm may be the base or the waist
(1) 5cm is the bottom, waist length is 6.5cm, area: 0.5 * 5 * H = 0.5 * 5 * root sign (6.5 ^ 2-2.5 ^ 2) = 15 (root sign below is represented by sqrt)
Let x, Y. 2 * (x + y) = 18, that is, x + y = 9, xy = 15, and the solution is: (9 + sqrt (21)) / 2, (9-sqrt (21)) / 2
(2) 5cm for the waist, 8cm for the bottom, area: 0.5 * 8 * 3 = 12
xy=12,x+y=9
So the side length is: (9 + sqrt (33)) / 2, (9-sqrt (33)) / 2
It is worth noting that there are not necessarily two possibilities for other numbers. You must judge whether it is in line with "the sum of the two sides is greater than the third side, and the difference between the two sides is less than the third side", otherwise you will be thankless^_^