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The surface area of two and a half cylinders is 32 square centimeters larger than that of the original cylinder, The problem is to find the surface area and volume of one of the cylinders
The perimeter of the bottom surface is 25.12 cm, the radius of the bottom surface is 25.12 / (2 * 3.14) = 4 cm
After cutting, the surface area of two half cylinders is increased by 32 square centimeters compared with that of the original cylinder. The increased part is two rectangular sections, and the area is equal to the diameter of the bottom * the height of the cylinder
Height of cylinder = (32 / 2) / (2 * 4) = 16 / 8 = 2cm
Volume of large cylinder = 3.14 * 4 * 4 * 2 = 100.48 cubic centimeter
Volume of half cylinder = 100.48/2 = 50.24 CC
Surface area of large cylinder
=Bottom area of large cylinder * 2 + side area of large cylinder
=3.14*4*4*2+25.12*2
=100.48+50.24
=150.72 square centimeter
Surface area of half cylinder
=Surface area / 2 + sectional area of large cylinder
=150.72/2+32/2
=75.36+16
=91.36 square centimeter
The side area of a cylinder is 628 square centimeters, and the perimeter of its bottom surface is 31.4 centimeters. What is the surface area of the cylinder?
Hanying nuanwan is your height: 628 △ 31.4 = 20 cm, bottom radius: 31.4 △ 3.14 △ 2 = 5 cm, bottom area: 3.14 × 5 × 5 = 78.5 square cm, surface area: 78.5 × 2 + 628 = 785 square cm, its surface area is 785 square cm (or in the upper right corner of the client evaluation point [satisfied]) is my driving force! You
The height of a cylinder is equal to the circumference of its bottom. If the height is shortened by 2 cm, the surface area will be reduced by 31.4 square cm. Find the surface area of the cylinder
From the meaning of the title:
Reduced surface area = reduced side area = perimeter of bottom surface × 2
So:
Bottom circumference = height = 31.4 △ 2 = 15.7 cm
Radius = 15.7 ／ 2 ／ 3.14 = 2.5cm
Surface area of cylinder
=2 × bottom area + side area
=2×3.14×2.5²+2×3.14×2.5×15.7
=285.74 square centimeter
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