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A conical tent is 9 m high and the radius of its base is 12 m. What is the cost of rice required to fill the tent if 1 m³ rice costs Rs 100?
If the radius of a sphere is increased by 10%, what is the percentage increase in its volume?
A solid lead ball of radius 7 cm was melted and then drawn into a wire of diameter 0.2 cm. Find the length of the wire.
The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find its slant height.
A hemispherical bowl has an internal radius of 9 cm and is full of liquid. The liquid is to be filled into cylindrical bottles of diameter 3 cm and height 4 cm. How many bottles are required?
The volume of a prism with an equilateral triangular base is 40√3 cm³. If the side of the triangle is 4 cm, find the height of the prism.
Water flows out of a pipe of cross-section 4 cm² at a speed of 10 cm/s. How many liters of water will flow out in 1 minute?
If the areas of three adjacent faces of a cuboid are x, y, and z, then the volume V is given by:
A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.
What is the volume of a right circular cone whose lateral surface area is 120 cm² and base radius is 6 cm?
A cube of side 6 cm is cut into 8 identical smaller cubes. What is the side of each smaller cube?
A pyramid has a height of 15 cm and its base is a right-angled triangle with sides 5 cm, 12 cm, and 13 cm. Find its volume.
The volume of a sphere is doubled. What is the ratio of the new radius to the old radius?
A cubical block of metal weighs 16 kg. What is the weight of another block of the same metal whose each side is double that of the first block?
Find the volume of a right circular cylinder whose curved surface area is 264 cm² and height is 14 cm.
The radii of the ends of a frustum of a cone are 14 cm and 7 cm, and its height is 6 cm. Find its volume.
A solid cylinder has a total surface area of 462 cm². Its curved surface area is one-third of its total surface area. Find its volume.
A conical vessel, with internal radius 5 cm and height 24 cm, is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the water rises.
A hemispherical tank full of water is emptied by a pipe at the rate of 25/7 liters per second. How much time will it take to empty half the tank, if it is 3 m in diameter?
The internal and external diameters of a hollow hemispherical vessel are 24 cm and 25 cm respectively. The cost to paint 1 cm² of the surface is Rs 0.05. Find the volume of material.