1. The slant height of a right circular cone is 7 cm, and the total surface area is 147.84 cm². Determine the radius of its base.

2. The slant height of a right circular cone is 7 cm, and its total surface area is 147.84 square cm. Find the radius of its base.

3. If the slant height of a right circular cone is 7 cm and its total surface area is 147.84 square cm, then find the diameter of the cone.

4. If a right circular cone has a height of \(12\) cm and a volume of \(1024\pi\) cubic cm, what is the slant height of the cone?

(a) 20 cm (b) 21 cm (c) 22 cm (d) 23 cm

5. A right circular cone has a slant height of 7 cm and a total surface area of 147.84 cm². Find the radius of the base of the cone.

6. If the slant height of a right circular cone is 15 cm and the diameter of its base is 16 cm, then the lateral surface area of the cone is –

(a) \(60\pi\) square cm (b) \(68\pi\) square cm (c) \(120\pi\) square cm (d) \(130\pi\) square cm

7. Find the radius of the base of a right circular cone whose slant height is 7 cm and total surface area is 147.84 cm².

8. Find the radius of the base of a right circular cone if its slant height is 7 cm and its total surface area is 147.84 cm².

9. The slant height of a right circular cone is 7 cm and its total surface area is 147.84 square cm. Find the radius of the base and the area of the base of the cone. Let me know if you'd like the full solution worked out as well. I'm happy to help.

10. The slant height of a right circular cone is 7 cm and its total surface area is 147.84 sq. cm. Find the radius of the base of the cone.

11. If a right circular cone has a vertex angle of 60° and a base radius of 14 cm, what is the curved surface area of the cone?

12. If a right circular cone has a vertex angle of 60° and a base radius of 14 cm, then what is the curved surface area of the cone?

(a) 1680 square cm (b) 1232 square cm (c) 1080 square cm (d) 1442 square cm

13. If a right circular cone has a height of 12 cm and a volume of \(100\pi\) cubic cm, then what is the radius of the cone?

14. A right circular cylinder has a height-to-base-radius ratio of 3:1. If the volume of the cylinder is \(1029\pi\) cubic cm, find the total surface area of the cylinder.

15. A conical-shaped head cap made of thermocol has a base diameter of 21 cm. Its upper surface is covered with foil, and the cost of covering is 10 paise per square centimeter, totaling ₹57.75. Find the height and slant height of the cap.

16. Determine the radius of the base of a solid right circular cone with a slant height of 7 cm and a total surface area of 147.84 square cm.

17. If the slant height of a tall circular cone is 15 cm and the diameter of its base is 16 cm, then find the lateral surface area of the cone.

(a) 60π square cm (b) 680π square cm (c) 120π square cm (d) 130π square cm

18. The base perimeter of a right circular cone is 44 cm, and its slant height is 2 decimeters. Find the curved surface area of the cone.

19. If the base radius of a right circular cone is 3 cm and the height is 4 cm, then the lateral surface area of the cone will be.

(a) \(10\pi \, cm^2\) (b) \(15\pi \, cm^2\) (c) \(12\pi \, cm^2\) (d) \(18\pi \, cm^2\)

20. The curved surface area of a right circular cone is \(\sqrt{10}\) times the area of its base. What is the ratio of the height of the cone to the diameter of its base?

21. If the volume of a right circular cone is \(100\pi\) cubic centimeters and its height is 12 cm, then what is its slant height?

(a) 13 cm (b) 16 cm (c) 9 cm (d) 26 cm

22. A solid sphere has a surface area of 616 square cm. It is melted to form 14 identical right circular cones, each with a height of 2 cm. Find the diameter of the base of each cone.

23. A right circular cone has a base diameter of 21 meters and a height of 14 meters. If the cost of painting is ₹1.50 per square meter, how much will it cost to paint the curved surface area?

24. The curved surface area of a solid right circular cone is 1320 square centimeters. If the diameter of the base of the cone is 14 cm, find its height.

25. If a right circular cone has a radius of \(\frac{r}{2}\) units and a slant height of \(2l\) units, then the total surface area is \(2πr(r + l)\).

26. If the height of a right circular cone is 14 cm and its curved surface area is 264 cm², what is the volume of the cone?

27. The height of a solid right circular cone is 20 cm and its slant height is 25 cm. If a solid right circular cylinder of height 15 cm has the same volume as the cone, then calculate and write the diameter of the base of the cylinder.

28. The base radius of a solid right circular cone is \(r\) units, its vertical height is \(h\) units, and its slant height is \(l\) units. The cone’s base is attached to the base of a solid right circular cylinder. If the base radius and height of the cylinder are equal to those of the cone, then the total surface area of the combined solid is \((πrl + 2πrh + 2πr^2)\) square units.

29. I have constructed a closed right circular cone with a base radius of 15 cm and a slant height of 24 cm. Calculate and write the lateral surface area and the total surface area of the cone.

30. A conical-shaped headgear made of shola has an outer base diameter of 21 cm. To cover its surface with foil, it costs ₹57.75 at a rate of 10 paise per square centimeter. Let us calculate the height and the slant height of the headgear.