The two right sides of a right triangle are 12 cm and 8 cm respectively. If you rotate along one of the right sides as an axis, you will get a cone. What is the maximum volume of the cone?

The two right sides of a right triangle are 12 cm and 8 cm respectively. If you rotate along one of the right sides as an axis, you will get a cone. What is the maximum volume of the cone?

384 π. 8 and#178; one third of π * 12 = 256 π 12 and#178; one third of π * 8 = 384 π

For a right triangle, the two right sides are 6cm and 8cm respectively. With which side as the axis, the volume of the cone formed after rotation is larger and how much larger

The rotation of 8 cm is larger than that of 6 cm
8 cm
8 × 8 × 3.14 × 6 △ 3 = 401.92 (CM)
6 cm
6 × 6 × 3.14 × 8 △ 3 = 301.44 (CM)
Large volume:
401.92-301.44 = 100.48 (CM)

The two right sides of a right triangle are 4cm and 6cm respectively. How can we get the largest volume of the cone after rotation?
1. The two right sides of a right triangle are 4cm and 6cm respectively. How can we get the largest volume of the cone after rotation? How many cubic centimeters is it larger?
2. A rectangle is 4cm long and 3cm wide. Which side has the largest volume after rotation? How many cubic centimeters is it?
The calculation process of the same size.

Take the right angle side 6 as the bottom. The other one is high rotation to get the largest volume, 50.24 square centimeters
The largest volume is 37.68 square centimeter with the side of length 4 as the bottom radius and the side of length 3 as the height

The two right angles of a right triangle are 6cm and 10cm respectively. They rotate around the diameter side to form a cone. What is the maximum volume of the cone
Square centimeter?

Flowers and plants in summer,
The maximum volume of cone is:
14 × 10 × 10 × 6 × 1 / 3 = 628 (cm3)
The minimum volume of cone is:
3.14 × 6 × 6 × 10 × 1 / 3 = 376.8 (cm3)