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This video is about Class 10 Surface Areas and Volumes One Shot. In this we try to cover Class 10 Maths Chapter 12. Timestamps: 0:00 Upcoming 03:18 Some formulae related to surface area and volume of various solids. 21:07 A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and cylindrical portion yellow, find the area of the rocket painted with each of these colours. 18:47 Mayank made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end . The height of the cvlinder is 1.45 m and its radius is 30 cm. Find the total surface area of the bird bath. 51:10 Shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder . If the base of the shed is of dimension 7 m x 15 m, and the height of the cuboidal portion is 8 m, find the volume of air that the shed can hold. Further, suppose the machinery in the shed occupies a total space of 300 m³, and there are 20 workers, each of whom occupy about 0.08 m³ space on an average. Then, how much air is in the shed ? 49:00 A juice seller was serving his customers using glasses . The inner diameter of the cylindrical glass was 5 m but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of a glass was 10 cm, find the apparent capacity of the glass and its actual capacity. 57:10 A wall 24 m long, 0.4 m thick and 6 m high is constructed with the bricks each of dimensions 25 cm x 16 cm x 10 cm. Tf the mortar 1/10 th of the volume of the wall, then find the number of bricks used in constructing the wall. 1:07:00 500 persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is 0.04 m³? 1:05:00 The rain water from a roof of dimensions 22 m x 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall. 1:12:00 Shown below is a cake that Subodh is baking for his brother's birthday. The cake is 21 cm tall and has a radius of 15 cm. He wants to surprise his brother by filling gems inside the cake. In order to do that, he removes a cylindrical portion of cake out of the centre as shown. The piece that is removed is 21 cm tall. If the cake weighs 0.5 g per cubic cm and the weight of the cake that is left after removing the central portion is 6600 g, find the radius of the central portion that is cut. Show your steps. 1:14:00 A semi-circular waffle sheet of radius 5 cm is folded into an ice-cream cone as shown below. Due to overlap while folding, the radius of the base of the cone is 80% of what it would be without overlap. Find the approximate volume of the cone. Show your work. 55:00 Shown below is a right circular cone of volume 13,600 cm3, Find the angle which the slant height makes with the base radius. Show your work. (Note: Take pi as 3, √2 as 1.4 and √3 as 1.7 ) 1:02:00 The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of the metal used in making the cylinder is 176 cm^3 find the outer and inner radii of the cylinder. 1:00:00 The inner and outer radii of a hollow cylinder surmounted on a hollow hemisphere of same radii are 3cm and 4cm. If height of cylinder is 14cm , then find its total surface area inner and outer). 1:17:00 Two rectangular sheets of dimensions 45 cm x 155 cm are folded to make hollow right circular cylindrical pipes, such that there is exactly 1 cm of overlap when sticking the ends of the sheet. Sheet 1 is folded along its length, while Sheet 2 is folded along its width. That is, the top edge of the sheet is joined with its bottom edge in both the sheets, as depicted by the arrow in the figure below. Both pipes are closed on both ends to form cylinders, 1. Find the difference in the curved surface areas of the two cylinders. 2. Find the ratio of the volumes of the two cylinders 1:08:00 Shown below is a cylindrical can placed in a cubical container. (i)How many of these cans can be packed in the container such that no more cans are fitted? (ii) If the capacity of one can is 539 ml, find the internal volume of the cubical container. Show your work. #class10 #mathsclass10 #surfaceareasandvolumes #surfaceareasandvolumesclass10 #oneshot #fullchapter @NextToppers23 @exphub10th @AshuGhai9th10th