NCERT Mathematics Solutions for Class 10th Chapter 13- Surface Areas and Volumes solved by an experienced team of Goprep to aid students in understanding the concepts of the topics in an efficient way. Crafted by a qualified subject mentor, these Solutions are prepared in accordance with the latest official curriculum in order to help students in preparing for their board examinations.
Surface Areas and Volumes are one of the important chapters of Class 10 as this deals with the important concepts like Area and Volume, Basic elements of Volume, Combinations of Solids, Surface Area of a Combination of Solids, Conversion of Solid from one shape to another and Frustum of a Cone, etc. Providing step-by-step answers to the questions, you can perform better and score more marks in the exam by using these NCERT Solutions.
2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see Fig. 13.10). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m2. (Note that the base of the tent will not be covered with canvas)
From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2
|Chapter 1 - Real Numbers|
|Chapter 2 - Polynomials|
|Chapter 3 - Pair of Linear Equations in Two Variables|
|Chapter 4 - Quadratic Equations|
|Chapter 5 - Arithmetic Progressions|
|Chapter 6 - Triangles|
|Chapter 7 - Coordinate Geometry|
|Chapter 8 - Introduction to Trigonometry|
|Chapter 9 - Some Applications of Trigonometry|
|Chapter 10 - Circles|
|Chapter 11 - Constructions|
|Chapter 12 - Areas Related to Circles|
|Chapter 13 - Surface Areas and Volumes|
|Chapter 14 - Statistics|
|Chapter 15 - Probability|