Volume and Surface Area

ABC26GN4879 · If each edge of a cube is doubled, then its volume:

ABC26GN4880 · By what percent the volume of a cube increases if the length of each edge was increased by 50%? · 2011

ABC26GN4881 · If each edge of a cube is increased by 25%, then the percentage increase in its surface area is :

ABC26GN4882 · A cube of edge 20 cm is completely immersed in a rectangular vessel containing water. If the dimensions of the base of the vessel are 20 cm…

ABC26GN4883 · A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out? · 1999

ABC26GN4884 · Find the cost of a cylinder of radius 14 m and height 3.5 m when the cost of its metal is ₹ 50 per cubic metre. · 2008

ABC26GN4885 · If the radius and height of a right circular cylinder are 21 cm and 35 cm respectively, then the total surface area of the cylinder is

ABC26GN4886 · The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base?

ABC26GN4888 · Capacity of a cylindrical vessel is 25.872 litres. If the height of the cylinder is three times the radius of its base, what is the area of… · 2007

ABC26GN4891 · The volume of a right circular cylinder whose curved surface area is 2640 cm2 and circumference of its base is 66 cm, is

ABC26GN4892 · A well has to be dug out that is to be 22.5 m deep and of diameter 7m. Find the cost of plastering the inner curved surface at ₹ 3 per sq… · 2007

ABC26GN4893 · The radius and height of a cylinder are in the ratio 5: 7 and its volume is 4400 cm3. Then its radius will be

ABC26GN4894 · The height of a right circular cylinder is 14 cm and its curved surface is 704 sq. cm. Then its volume is:

ABC26GN4895 · A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. If the sheet metal costs ₹ 80 per m2, the cost of the…

ABC26GN4896 · The curved surface area of a right circular cylinder of base radius r is obtained by multiplying its volume by

ABC26GN4897 · The ratio of total surface area to lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is

ABC26GN4898 · Two cans have the same height equal to 21 cm. One can is cylindrical, the diameter of whose base is 10 cm. The other can has square base of… · 2010

ABC26GN4899 · The diameter of the base of a cylindrical drum is 35 dm and the height is 24 dm. It is full of kerosene. How many tins each of size 25 cm ×…

ABC26GN4901 · The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq…

ABC26GN4902 · The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

ABC26GN4903 · The height of a right circular cylinder is 6 m. If three times the sum of the areas of its two circular faces is twice the area of the…

ABC26GN4904 · The height of a closed cylinder of given volume and the minimum surface area is

ABC26GN4905 · If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced… · 2005

ABC26GN4906 · The radii of the bases of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 3. The ratio of their volumes is · 2005

ABC26GN4907 · If the height of a cylinder is increased by 15 percent and the radius of its base is decreased by 10 percent then by what percent will its… · 2006

ABC26GN4908 · If two cylinders of equal volumes have their heights in the ratio 2 : 3, then the ratio of their radii is · 2010

ABC26GN4909 · X and Y are two cylinders of the same height. The base of X has diameter that is half the diameter of the base of Y. If the height of X is…

ABC26GN4910 · The radius of a wire is decreased to one-third and its volume remains the same. The new length is how many times the original length?

ABC26GN4911 · If the radius of a cylinder is decreased by 50% and the height is increased by 50% to form a new cylinder, the volume will be decreased by

ABC26GN4912 · Diameter of a jar cylindrical in shape is increased by 25%. By what percent must the height be decreased so that there is no change in its…

ABC26GN4913 · A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by

ABC26GN4915 · Water flows through a cylindrical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the…

ABC26GN4916 · The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty. We start filling the cistern… · 2007

ABC26GN4917 · It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres… · 2005

ABC26GN4918 · Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the… · 2006

ABC26GN4919 · 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… · 2006

ABC26GN4921 · Find the number of coins 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter… · 2005

ABC26GN4922 · Two cylindrical vessels with radii 15 cm and 10 cm and heights 35 cm and 15 cm respectively are filled with water. If this water is poured…

ABC26GN4923 · 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be

ABC26GN4926 · A square pond has 2 m sides and is 1 m deep. If it is to be enlarged, the depth remaining the same, into a circular pond with the diagonal…

ABC26GN4927 · What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of… · 2007

ABC26GN4928 · Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m… · 2008

ABC26GN4929 · The trunk of a tree is a right cylinder 1.5 m in radius and 10 m high. The volume of the timber which remains when the trunk is trimmed… · 2006

ABC26GN4931 · An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then the whole surface of the pipe is · 2007

ABC26GN4934 · What length of solid cylinder 2 cm in diameter must be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and…

ABC26GN4935 · A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g / cm3, then…

ABC26GN4936 · 1496 cm3 of metal is used to cast a pipe of length 28 cm. If the internal radius of the pipe is 8 cm, the outer radius of the pipe is · 2007

ABC26GN4938 · A circular cylinder can hold 61.6 c.c. of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, then the thickness…

ABC26GN4939 · Which one of the following figures will generate a cone when rotated about one of its straight edges?

ABC26GN4940 · The radius of the base and height of a cone are 3 cm and 5 cm respectively whereas the radius of the base and height of a cylinder are 2 cm…