How large is the surface area of the largest cylinder cut from a cube with an edge length of 10 cm?

How large is the surface area of the largest cylinder cut from a cube with an edge length of 10 cm?


Then the diameter of the bottom of the cylinder is 10 cm and the height is 10 cm
Then the surface area of the cylinder = 2 * bottom area + side area = 2 * 3.14 * 5 ^ 2 + 2 * 3.14 * 5 * 10 = 157 + 314 = 471



A cube block, cut into the largest cylinder. Cylinder surface area 471 square centimeter, find the cube surface area
(1) The surface area of cylinder is 471 square centimeter
(2) If the surface area of a cube is 120 square centimeters, how about the surface area of a cylinder?


① If the edge length of the cube is a cm, the surface area of the square is 6A
From the meaning of the title, we can get 2 × (A / 2) ² π + π A & #178; = 471
3a²π=942
a= 10
∴ 6a²=600
A: the square surface area is 600 cubic centimeters
② The side length of the square is 20 cm
Then s Cylinder = 3 π radical 20 / 2 ≈ 210.75



Cut a cube wood block with an edge length of 2 decimeters into the largest cylinder with a surface area of square decimeters and a volume of cube
A cube wood block with an edge length of 2 decimeters is cut into the largest cylinder with a surface area of square decimeters and a volume of cubic decimeters


Volume: (2 △ 2) &# 178; × 3.14 × 2 = 6.28dm & # 178;
Surface area: 2 × 3.14 = 6.28dm, 6.28 × 2 = 12.56dm & # 178; (2 △ 2) &# 178; × 3.14 × 2 = 6.28dm & # 178; 12.56 + 6.28 = 18.84dm & # 178; surface area: 2 × 3.14 = 6.28dm & # 178; surface area: 12.56 + 6.28 = 18.84dm & # 178;