The circumference of the bottom surface of a cylinder is 8 cm in diameter and 6 cm in height. Cut it into the largest cone. What is the volume of the cone? What is the volume of the cone

The circumference of the bottom surface of a cylinder is 8 cm in diameter and 6 cm in height. Cut it into the largest cone. What is the volume of the cone? What is the volume of the cone

Radius 8 △ 2 = 4cm
Cone volume 1 / 3x4x3.14x6 = 100.48 cm3
Cut off 100.48x2 = 200.96cc
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The volume of a cylinder and a cone is equal, the ratio of their bottom area is 3:5, the height of the cylinder is 8 cm, and the height of the cone is 8 cm______ Cm

Let the volume of the cylinder and the cone be equal to V, the area of the bottom of the cylinder is 3S, and the area of the bottom of the cone is 5S, then the height of the cylinder is v3s; the height of the cone is 3v5s, so the ratio of the height of the cylinder and the cone is v3s: 3v5s = 5:9, because the height of the cylinder is 8 cm, so the height of the cone is 8 × 9 △ 5 = 14.4 (CM), answer: the height of the cone is 14.4 cm

The volume of a cylinder and a cone is equal, the ratio of their bottom area is 6:5:4, the height of the cylinder is 8 cm, and the height of the cone is () cm
The volume of a cylinder and a cone is equal. The area ratio of their bottom is 3:5. The height of the cylinder is 8 cm, and the height of the cone is () cm.

Known: H cylinder = 8 cm,
S cylinder bottom / S cone bottom = 6 / 5.4
Find: H cone =?
V cylinder = s cylinder bottom * h cylinder
V cone = S cone bottom * h cone / 3
So, s-cylinder bottom * h-cylinder = S-cone bottom * h-cylinder / 3
S cylinder bottom / S cone bottom * = h cone / (H cylinder * 3)
6 / 5.4 = h cone / (8 * 3)
H cone = 8 * 3 * 6 / 5.4 = 80 / 3 (CM)
About 26.67 cm
A: the height of the cone is (80 / 3) cm