Water is running into an inverted cone at the rate of `pi` cubic metres per minute. The height of the cone is 10 metres, and the radius of its base is 5m. How fast the water level is rising when the water stands 7.5 m below the base.

The volume of a cone is 18480c m^3dot If the height of the cone is 40cm. Find the radius of its base.

Sand is being poured onto a conical pile at the constant rate of 50 cm^3 per minute such that the height of the cone is always ontee half of the radius of its base. How fast is the height of the pile increasing when the sand is 5 cm deep.

Find the total surface area of a cone, if its slant height is 9m and the radius of its base is 12m.

The height of a cone is 15 cm. If its volume is 1570\ c m^3 , find the radius of the base.

Water runs into an inverted conical tent at the rate of 20 ft^3 / min and leaks out at the rate of 5 ft^3 /min .The height of the water is three times the radius of the water's surface. The radius of the water surface is increasing when the radius is 5 ft, is

Water is poured into an inverted conical vessel of which the radius of the base is 2m and height 4m, at the rate of 77 lit/min. The rate at which the water level is rising, at the instant when the depth is 70 cm is

The height of a cone is 15cm. If its volume is 500pi\ c m^3 , then find the radius of its base.

The area of the curved surface of a cone is 60pi\ c m^2dot If the slant height of the cone be 8cm, find the radius of the base.

The slant height of a cone is 10.5 cm and diametre of base is 14 cm. Find its curved surface area.

Water is running into a conical vessel, 15cm deep and 5cm in radius, at the rate of 0.1 c m^3//s e c . When the water is 6cm deep, find at what rate is the water level rising? the water-surface area increasing? the wetted surface of the vessel increasing?