Option 1
1) The height of the cone is 21 and the diameter of the base is 144. Find the formant of the cone.
2) The lateral surface area of a cylinder is 80 π and the diameter of its base is 8. Find the height of the cylinder.
3) The circumference of the base of the cone is 7 and the formant is 2. Find the area of the lateral surface of the cone.
4) How many times will the lateral surface area of the cone increase if its formant is 36 times larger?
5) The radii of the bases 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 cone.
6) The diagonal of the axial section of a cylinder is 8 dm and makes an angle of 60° with the form. Find the total surface area of the cylinder
7) The height of the cylinder is 8.5 cm. The area of the cylinder by a plane parallel to the axis of the cylinder and 15 cm from it is 340 cm2. Find the radius and the lateral surface of the cylinder.
Option 2
1) The height of a cone is 57 and the diameter of the base is 152. Find the formant of the cone.
2)The lateral surface area of a cylinder is 72 π and the diameter of the base is 9. Find the height of the cylinder.
3) The circumference of the base of the cone is 8 and the formant is 8. Find the area of the lateral surface of the cone.
4) How many times will the lateral surface area of a cone increase if its formant is increased 11 times?
5) The radius of the larger base, the formant and the height of a truncated cone are 7 cm, 5 cm and 3 cm, respectively. Find the area of the axial section and the lateral surface of the cone.
6) The diagonal of the axial section of a cylinder is equal to dm and forms a 45° angle with the plane of the base of the cylinder. Find the area of the total surface of the cylinder.
7) The area of the cross section of the cylinder with a plane parallel to the axis of the cylinder and 10 cm away from it is 720 cm2. The height of the cylinder is 15 cm. Find the radius and the lateral surface of the cylinder.
Option 1
1) The height of a cone is 21 and the diameter of the base is 144. Find the formant of the cone.
2) The lateral surface area of a cylinder is 80 π and the diameter of the base is 8. Find the height of the cylinder.
3) The circumference of the base of the cone is 7 and the formant is 2. Find the area of the lateral surface of the cone.
4) How many times will the lateral surface area of the cone increase if its formant is 36 times larger?
5) The radii of the bases 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 cone.
6) The diagonal of the axial section of a cylinder is 8 dm and makes an angle of 60° with the form. Find the total surface area of the cylinder
7) The height of the cylinder is 8.5 cm. The area of the cylinder by a plane parallel to the axis of the cylinder and 15 cm from it is 340 cm2. Find the radius and the lateral surface of the cylinder.
Option 2
1) The height of a cone is 57 and the diameter of the base is 152. Find the formant of the cone.
2)The lateral surface area of a cylinder is 72 π and the diameter of the base is 9. Find the height of the cylinder.
3) The circumference of the base of the cone is 8 and the formant is 8. Find the area of the lateral surface of the cone.
4) How many times will the lateral surface area of a cone increase if its formant is increased 11 times?
5) The radius of the larger base, the formant and the height of a truncated cone are 7 cm, 5 cm and 3 cm, respectively. Find the area of the axial section and the lateral surface of the cone.
6) The diagonal of the axial section of a cylinder is equal to dm and forms a 45° angle with the plane of the base of the cylinder. Find the area of the total surface of the cylinder.
7) The area of the cross section of the cylinder with a plane parallel to the axis of the cylinder and 10 cm away from it is 720 cm2. The height of the cylinder is 15 cm. Find the radius and the lateral surface of the cylinder.
Answers:
Option 1.
1. 75
2. 10
3. 7
4. 36
5. 27
Option 2.
1. 95
2. 8
3. 32
4. 11
5. 21
Option 3
1. 100
2. 8
3. 20
4. 9
5. 37
Option 4.
1. 8
2. 2
3. 16
4. 22
5. 9
