01
The cylindrical volume formula is a formula used to calculate the volume of a cylinder. The formula is that the bottom area times the height is equal to the cylinder volume (V=π r ² h) π is the pi, r
02
A cylinder is composed of two bottom and a side, the two cylinder bottom are the same two circles. Cut along a diagonal line to get a parallelogram.
03
The circumference rate (π) is the ratio of the circumference of the circle to the diameter, generally expressed in the Greek letter π, and is a mathematical constant that is prevalent in mathematics and physics. π is also equal to the square ratio of the area of the circle to the radius. It is the key value to accurately calculate the geometric shapes such as the circumference, area and volume of a circle. In analysis, π can be strictly defined as the minimum positive real number x satisfying sinx=0.
04
Cut the 48 cm long cylinder into two small cylinders at 5:3. After cutting, the surface area will increase by 7 square centimeters compared with the original. Find the volume of the longer cylinder.
Answer:
Cut into two small cylinders, then the cross section is circular, two, one is 7 ÷ 2=3.5 square centimeters. The large cylinder accounts for 5/8 of the whole cylinder, which is 48 × 5/8=30cm. The height of 30 × the bottom area of 3.5 is 105 cubic centimeters, which is the volume of a large cylinder.
