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The diameter of the bottom surface of a cylinder is 4cm. Cut the cylinder vertically into two equal rectangles, and increase the surface area by 64 square cm. Calculate the side area of the cylinder
Cut the cylinder vertically into two equal rectangles. The surface increases by two. The length is the diameter of the bottom of the cylinder, and the width is the area of the rectangle with the height of the cylinder
What is the area of each rectangle
64 △ 2 = 32 (square centimeter)
What is the height of the cylinder
32 △ 4 = 8 (CM)
What is the side area of the cylinder
4 × 3.14 × 8 = 100.48 (cm2)
The side expansion of a cylinder is a square. The ratio of the bottom radius to the height of the cylinder is ()
A. 1：πB. 1：2πC. π：1D. 2π：1
Let the radius of the bottom surface of the cylinder be r, then the circumference of the bottom surface of the cylinder is 2 π R, that is, the height of the cylinder is 2 π R, and the ratio of the radius of the bottom surface to the height of the cylinder is R: 2 π r = 1:2 π
If the bottom radius of a cylinder is 1 cm, its side area is () square cm
According to C = 2 π R, C = 3.14 times 2 times 1 = 6.28 (CM)
At this time, C is the circumference of the cylinder, that is, the side length of the expanded square (R), and the square s = the square of R, that is, the product of 6.28 times 6.28. The number calculated is the answer you asked for
However, if it is not mentioned that π is 3.14, it is not necessary to use 3.14 to calculate, and π can be directly substituted into the formula
The bottom radius of a cylinder is 3cm, and the height is 18.84cm. The side view of the cylinder is as follows______ ．
The circumference of the bottom surface of the cylinder: 2 × 3.14 × 3 = 18.84 (CM); the circumference and height of the bottom surface of the cylinder are equal; it means that its side expansion is square. Answer: its side expansion is square. So the answer is: square
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