A hemispherical bowl is made of steel of 0.25 cm thickness. The inner radius of the bowl is 5 cm. The volume of steel used is _____. (Use π = 3.141)
A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.
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The ratio between the volume of two sphere is 8 : 27. What is the ratio between their surface areas?
A right circular cone is 4.1 cm high and the radius of its base is 2.1 cm. Another right circular cone is 4.3 cm high and the radius of the base is 2.1 cm. Both the cones are melted and recast into a sphere. Find the diameter of the sphere.
A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.
A cuboidal metal of dimensions 44 cm × 30 cm × 15 cm was melted and cast into a cylinder of height 28 cm. Its radius is _____.
A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left in the tub. (Take π = 22/7)
A cylindrical vessel of diameter 4 cm is partly filled with water. 300 lead balls are dropped in it. The rise in water level is 0.8 cm. The diameter of each ball is ____.
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 ₹ 0.05. Find the total cost of painting the vessel all over.
To construct a wall 24 m long, 0. 4 m thick and 6 m high, bricks of diamensions 25 cm × 16 cm × 10 cm each are used. If the mortar occupies 1/10th of the volume of the wall, find the number of bricks used.