Cut a cone with a base radius of 5cm into two parts vertically from the top along the height. At this time, the surface area will be increased by 180cm2, and the volume will be calculated

Cut a cone with a base radius of 5cm into two parts vertically from the top along the height. At this time, the surface area will be increased by 180cm2, and the volume will be calculated

Cut it in half vertically along the height, increasing the area of two triangles whose bottom is the diameter of the cone bottom and whose height is the height of the cone
What is the area of each triangle
180 △ 2 = 90 (square centimeter)
Cone height
90 × 2 (5 × 2) = 18 (CM)
The volume is
5 × 5 × 3.14 × 18 × 1 / 3 = 471 (cm3)

The known cone diameter is 6cm, the height is 10cm, and the volume of the cone is calculated

Volume = 1 / 3 × 3.14 × (6 / 2) & # 178; × 10 = 94.2 cm3
If you understand and solve your problem,

There is a cylinder and a cone with equal height and equal bottom. The sum of the volumes is 6 cubic meters. What is the volume of the cone?

What is the volume of a cylinder
6 ÷ (1 + 1 / 3) = 4.5 (M3)
What is the volume of a cone
4.5 × 1 / 3 = 1.5 (M3)