If the height of a cylinder is shortened by 3 cm, its surface area will be reduced by 94.2 square cm. Its bottom radius is () cm? How much is the volume reduced?

If the height of a cylinder is shortened by 3 cm, its surface area will be reduced by 94.2 square cm. Its bottom radius is () cm? How much is the volume reduced?


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Truncate 3 cm, reduce the surface area by 94.2 square cm, then the circumference of this column is 94.2 square cm △ 3 = 31.4 cm
Its bottom radius is 31.4cm △ 3.14 △ 2 = 5cm
Its bottom area is 5 ﹥ cm ﹥ 178; × 3.14 = 25cm ﹥ 178; × 3.14 = 78.5cm2
The volume is reduced by 78.5cm & # 178; × 3cm = 235.5cm & # 179; (cubic centimeter)
A: the radius of the bottom surface is 5cm, and the volume is reduced by 235.5cm
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The bottom of a cylinder is 4cm in diameter and 8cm in height, and its side area is______ And the surface area is______ And the volume is______ .


3.14 × 4 × 8 = 100.48 (square centimeter); 100.48 + 3.14 × 4 × 2 = 100.48 + 3.14 × 4 × 2 = 100.48 + 25.12 = 125.6 (square centimeter); 3.14 × 4 × 8 = 3.14 × 4 × 8 = 100.48 (cubic centimeter). A: its side area is 100.48 square centimeter, surface area is 125.6 square centimeter, and volume is 100.48 cubic centimeter 48 cm3



The height of a cylinder is 15 cm. Increase its height by 2 cm and then increase its surface area by 25.12 cm


The circumference of the bottom surface of the cylinder: 25.12 △ 2 = 12.56 (CM), the radius of the bottom surface: 12.56 △ 3.14 △ 2 = 2 (CM), the volume: 3.14 × 22 × 15, = 3.14 × 4 × 15, = 188.4 (cm3); answer: the original volume of the cylinder is 188.4 cm3



The height of a cylinder is 15 cm. If the height is reduced by 3 cm, the surface area will be reduced by 94.2 square cm, and the volume of the original cylinder will be 15 cm______ Cubic centimeter


94.2 △ 3 = 31.4 (CM) 3.14 × (31.4 △ 3.14 △ 2) 2 × 15 = 3.14 × 25 × 15 = 1177.5 (cm3) a: the original volume of the cylinder is 1177.5 cm3, so the answer is: 1177.5