A cistern, open at the top, is to be lined with sheet of lead which weights 27 kg/m2. The cistern is 4.5 m long and 3 m wide and holds 50 m3. The weight of lead required is :
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Aptitude · all questionsVolume And Surface Area
Volume And Surface Area
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The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200% respectively. Then the increase in the volume of the cuboid is :
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A water tank is 30 m long, 20 m wide and 12 m deep. It is made of iron sheet which is 3 m wide. The tank is open at the top. If the cost of the iron sheet is Rs. 10 per metre, then the total cost of the iron sheet required to build the tank is :
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If the total length of diagonals of a cube is 12 cm, then what is the total length of the edges of the cube ?
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By what percent the volume of a cube increases if the length of each edge was increased by 50%
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The height of a closed cylinder of given volume and the minimum surface area is :
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Water is poured into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into the tank. the depth of the water is 7 feet. The radius of the tank is 100 feet. Which of the following is the best approximation for the rate at which the water was poured into the tank ?
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The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is :
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A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio 5 : 12, then the ratio of the total surface area of the cylinder to that of the cone is :
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The curved surface area of a sphere is 5544 sq.cm. Its volume is :
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A hollow spherical metallic ball has an external diameter 6 cm and is cm thick. The volume of metal used in the ball is :
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If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cylinder of base diameter 8 cm, then the height of the cylinder is :
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The ratio of the volume of a hemisphere and a cylinder circumscribing this hemisphere and having a common base is :
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The volume of a right circular cone which is obtained from a wooden cube of edge 4.2 dm wasting minimum amount of wood is :
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If the diameter of a sphere is 6 m, its hemisphere will have a volume of :
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The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is :
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The sum of the radius and the height of a cylinder is 19 m. The total surface area of the cylinder is 1672 m2, what is the volume of the cylinder ?
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Given that 1 cu. cm of marble weights 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block is :
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An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimension 20 cm × 15 cm. If the side of each square is 2 cm, the total outer surface area of the box is :
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V1, V2, V3 and V4 are the volumes of four cubes of side lengths x cm, 2x cm, 3x cm and 4 cm respectively. Some statements regarding these volumes are given below :
(i) V1 + V2 + 2V3 < V4
(ii) V1 + 4V2 + V3 < V4
(iii) 2(V1 + V3) + V2 = V4
Which of these statements area correct ?
(i) V1 + V2 + 2V3 < V4
(ii) V1 + 4V2 + V3 < V4
(iii) 2(V1 + V3) + V2 = V4
Which of these statements area correct ?
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