1. The lateral surface area of a right circular cone with a base radius of 1.5 meters and a slant height of 14 meters is _____.

(a) 66 square meters (b) 22 square meters (c) 44 square meters (d) 88 square meters

2. 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?

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.

9. 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.

10. 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.

11. The diameter of a right circular cone is 21 meters and its height is 14 meters. Calculate how much it will cost to paint the lateral surface of the cone at a rate of 1.50 rupees per square meter.

12. 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.

13. 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) \(18\pi \, cm^2\)

14. The radius of the base of a right circular cone is equal to the radius of a sphere. The volume of the cone (in cubic centimeters) is equal to the curved surface area of the sphere (in square centimeters). What is the height of the cone?

(a) 4 cm (b) 3 cm (c) 8 cm (d) 12 cm

15. 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.

16. 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.

17. 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

18. 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.

19. To make a right circular cone-shaped tent, 77 square meters of canvas was used. If the slant height of the tent is 7 meters, then calculate and write the area of the base of the tent.

20. If the radius of a right circular cone is \(\cfrac{r}{2}\) units and the slant height is \(2l\) units, then the total surface area is –

(a) \(2πr (l+r)\) square units (b) \(πr\left(l+\cfrac{r}{4}\right)\) square units (c) \(πr(l+r)\) square units (d) \(2πr l\) square units

21. If a right circular cone has a base diameter of 7 cm and a slant height of 10 cm, what is the total surface area of the cone?

(a) 184.5 square cm (b) 185.4 square cm (c) 148.5 square cm (d) 184.6 square 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. If the curved surface area of a right circular cylinder is 264 square meters and its volume is 924 cubic meters, then what is the radius of the base?

24. The lateral surface area of a right circular cone is \( \sqrt{5} \) times the area of its base. What is the ratio of the cone’s height to the radius of its base?

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. The curved surface area of a right circular cone is \(\sqrt{5}\) times its base area. The ratio of its height to radius will be _____.

27. The mountain is in the shape of a right circular cone. Its slant height is 2.5 km, and its base area is 1.54 square km. Determine the height of the mountain.

28. If the radius of a right circular cone is \(\cfrac{r}{2}\) units and the slant height is \(2l\) units, then the total surface area is –

(a) \(2πr (l+r)\) square units (b) \(πr\left(l+\cfrac{r}{4}\right)\) square units (c) \(πr(l+r)\) square units (d) \(2πr l\) square units

29. The numerical value of the volume and the lateral surface area of a right circular cone are equal. If the height of the cone is \( h \) and the radius is \( r \), determine the value of \(\cfrac{1}{h^2}+\cfrac{1}{r^2}\).

30. If the lateral surface area of a right circular cone is √5 times the area of its base, what is the ratio of its height to its radius?