The height of a cylinder is 8 cm. It is cut vertically from the middle. The surface area is increased by 96 square cm. What is the volume of this cylinder?

The height of a cylinder is 8 cm. It is cut vertically from the middle. The surface area is increased by 96 square cm. What is the volume of this cylinder?

The diameter of the bottom of the cylinder: 96 △ 2 △ 8 = 6 (CM), the volume of the cylinder: 3.14 × (6 △ 2) 2 × 8, = 3.14 × 9 × 8, = 226.08 (cm3); a: the volume of the cylinder is 226.08 cm3

A cylinder with a diameter of 8 cm and a height of 12 cm is used to calculate the surface area and volume

S=3.14*8*12+2*3.14*4*4=401.92
V=3.14*4*4*12=602.88

If the height of a cylinder is shortened by 3 cm, its surface area will be reduced by 18.84 square cm. The volume of the cylinder will be reduced by () cubic cm
A. 9.42B. 37.68C. 18.84D. 12.56

18.84 △ 3 = 6.28 (CM); 6.28 △ 3.14 △ 2 = 1 (CM); 3.14 × 12 × 3 = 9.42 (cm3); answer: the volume of this cylinder is reduced by 9.42 cm3

If the height of a cylinder is increased by 3 cm, its side area will increase by 18.84 square cm. What is the volume of the cylinder

Side area = perimeter of bottom surface × height
High increase 3
Bottom perimeter × (height + 3) - bottom perimeter × height = 3, bottom perimeter = 18.84
Perimeter of bottom surface = 18.84 △ 3 = 6.28
Bottom radius = 6.28 △ 3.14 △ 2 = 1
Volume = 3.14 × 1 & # 178; × 6.28 = 19.7192