Option 1
1. The form of the cone is 18 cm and is inclined to the plane of the base at an angle of 60°. Find the radius of the base, the height of the cone, the area of the axial section, and the area of the total surface of the cone.
2. The radii of the base of the truncated cone are 12 cm and 6 cm; its height is 8 cm. Find the formant of the truncated cone, the area of the axial section, the area of the lateral and the total surface of the truncated cone.
3. The height of the cone is 2√3 cm. Find the area of the axial section of the cone if it is a right triangle.
Option 2.
1. The axial section of the cone is an equilateral triangle. The lateral surface area of the cone is 5 cm2. Find the area of the total surface.
2. The form of the cone is inclined to the plane of the base at an angle of 300 and the height of the cone is 12 cm. Find the lateral surface area of the cone.
3. The radii of the base of a truncated cone are 3 cm and 6 cm, and the height is 4 cm. Find the area of axial section and lateral surface of truncated cone.
Independent work on the topic “Cone. Truncated cone. Side and full surface”
Option 1
1. The form of the cone is 18 cm and is inclined to the plane of the base at an angle of 60°. Find the radius of the base, the height of the cone, the area of the axial section, and the area of the total surface of the cone.
2. The radii of the base of the truncated cone are 12 cm and 6 cm; its height is 8 cm. Find the formant of the truncated cone, the area of the axial section, the area of the lateral and the total surface of the truncated cone.
3. The height of the cone is 2√3 cm. Find the area of the axial section of the cone if it is a right triangle.
Option 2.
1. The axial section of the cone is an equilateral triangle. The lateral surface area of the cone is 5 cm2. Find the area of the total surface.
2. The form of the cone is inclined to the plane of the base at an angle of 300 and the height of the cone is 12 cm. Find the lateral surface area of the cone.
3. The radii of the base of a truncated cone are 3 cm and 6 cm, and the height is 4 cm. Find the area of axial section and lateral surface of truncated cone.
Independent work on the topic “Cone. Truncated cone. Side and full surface”
Option 1
1. The form of the cone is 18 cm and is inclined to the plane of the base at an angle of 60°. Find the radius of the base, the height of the cone, the area of the axial section, and the area of the total surface of the cone.
2. The radii of the base of the truncated cone are 12 cm and 6 cm; its height is 8 cm. Find the formant of the truncated cone, the area of the axial section, the area of the lateral and the total surface of the truncated cone.
3. The height of the cone is 2√3 cm. Find the area of the axial section of the cone if it is a right triangle.
Option 2.
1. The axial section of the cone is an equilateral triangle. The lateral surface area of the cone is 5 cm2. Find the area of the total surface.
2. The form of the cone is inclined to the plane of the base at an angle of 300 and the height of the cone is 12 cm. Find the lateral surface area of the cone.
3. The radii of the base of a truncated cone are 3 cm and 6 cm, and the height is 4 cm. Find the area of the axial section and the lateral surface of the truncated cone.
