A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15cm, what will be the height to which the water rises in it?

The cost of polishing the total surface area of a solid cone at ₹ 0.50 per cm² is ₹ 5632, and the circumference of its base is 176 cm. What is the height of the cone? (Use π = 22/7)

The radius of a right circular cone is 3.5 cm and slant height is 0.21 m, then what is its lateral surface area? (use π = 22/7)

Find the curved surface area of cone whose height is 3 m and radius is 4 m.
(approximate value) (The value of π = $$\frac{22}{7}$$​)

Find the volume of cone which has base radius as 7 cm and height as 12 cm. (The value of π is $$\frac {22}7$$​)

If the volume of a right circular cone of height 30 cm is 160π $$\text{cm}^3$$​, find the diameter of its base.

A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is $$\frac{2}{3}$$ full. Find the volume (in cm³) of water in the vessel.​

The curved surface area of a right circular cone is 5400π cm², and the diameter of its base is 144 cm. Find the height (in cm) of the cone.

The curved surface area of a right circular cone is 6500π cm², and the diameter of its base is 100 cm. Find the height (in cm) of the cone.​