CLASS 10 CHAPTER 13 SURFACE AREA VOLUME MATHS NCERT SOLUTIONS EX 13.5 EX13.3

 CLASS 10 CHAPTER 13 SURFACE AREA VOLUME MATHS NCERT CBSE SOLUTIONS EX 13.5 EX13.3

 

 

CHAP13_EX13.5_1. A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and
mass of the wire, assuming the density of copper to be 8.88 g per cm3

CHAP13_EX13.5_3. A cistern, internally measuring 150 cm × 120 cm × 110 cm, has 129600 cm3
 of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in
without overflowing the water, each brick being 22.5 cm × 7.5 cm × 6.5 cm?

CHAP13_EX13.5_4. In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 7280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.

CHAP13_EX13.3_7.A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.

CHAP13_EX13.3_8. Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?

CHAP13_EX13.3_9. A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled

CHAP13_EX13.3_Selvi’s house has an overhead tank in the shape of a cylinder. This
is filled by pumping water from a sump (an underground tank) which is in the
shape of a cuboid. The sump has dimensions 1.57 m × 1.44 m × 95cm. The
overhead tank has its radius 60 cm and height 95 cm. Find the height of the water
left in the sump after the overhead tank has been completely filled with water
from the sump which had been full. Compare the capacity of the tank with that of
the sump. (Use π = 3.14

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 CHAPTER 20 CYLINDER, CONES | CONCISE MATHEMATICS | SELINA SOLUTIONS | EX 20 A

 

 SOLUTIONS_PDF_LINK

 

 EX20A Q3. A cylinder of circumference 8 cm and length
 21 cm rolls without sliding for 41 seconds at
 the rate of 9 complete rounds per second.
 Find
 (i) the distance traveled by the cylinder in
   4-1/2 seconds, and
 (ii) the area covered by the cylinder in 4
   seconds.

 

 EX20A Q8. A cylindrical container with diameter of base 42 cm contains sufficient water to submerge a  rectangular solid of iron with dimensions   22 cm x 14 cm x 10.5 cm. Find the rise in the level of the water when the solid is sub-merged.


 EX20A Q14. Find the minimum length in cm and correct to
  nearest whole number of the thin metal sheet
  required to make a hollow and closed cylindrical
  box of diameter 20 cm and height 35 cm.
  Given that the width of the metal sheet is I m.
  Also, find the cost of the sheet at the rate of
   56 per m.
  Find the area of metal sheet required, if 10% of it   is wasted in cutting, overlapping, etc.

 

 

 EX20A Q10. Find the total surface area of an open pipe of
    length 50 cm, external diameter 20 cm and
    internal diameter 6 cm.

 EX20A Q11. The height and the radius of the base of a
    cylinder are in the ratio 3: 1. If its volume
    is 1029 cm^3; find its total surface area.

 EX20A Q12. The radius of a solid right circular cylinder
    increases by 20% and its height decreases by
    20%. Find the percentage change in its
    volume.


 EX20A Q15. 3080 cm^3 of water is required to fill a
  cylindrical vessel completely and 2310 cm^3 of
  water is required to fill it upto 5 cm below the  top. 

Find :
  (i) radius of the vessel.
  (ii) height of the vessel.
  (iii) wetted surface area of the vessel when it is half-filled with water.

EX20A Q18. A circular tank of diameter 2 m is dug and the  earth removed is spread uniformly all around
   the tank to form an embankment 2 m in width
  and 1.6 m in height. Find the depth of the
  circular tank.

 EX20A Q21. The sum of the height and the radius of a solid   cylinder is 35 cm and its total surface area is   cylinder is 35 cm and its total surface area is   3080 cm^2; find the volume of the cylinder.

 EX20A Q22. The total surface area of a solid cylinder is
  616 cm^2. If the ratio between its curved
  surface area and total surface area is 1:2;
  find the volume of the cylinder.

 EX20A Q23. A cylindrical vessel of height 24 cm and
  diameter 40 cm is full of water. Find the exact
  number of small cylindrical bottles, each of
  height 10 cm and diameter 8 cm, which can
  be filled with this water.

 EX20A Q24. Two solid cylinders, one with diameter 60 cm
  and height 30 cm and the other with radius 30
  cm and height 60 cm, are melted and masted
  into a third solid cylinder of height 10 cm.
  Find the diameter of the cylinder formed.

 EX20A Q25. The total surface area of a hollow cylinder,
  which is open from both the sides, is 3575
  cm^2; area of its base ring is 357.5 cm^2 and its
  height is 14 cm. Find the thickness of the
  cylinder.

 EX20A Q28. A closed cylindrical tank, made of thin iron-   sheet, has diameter = 8.4 m and height 54 m.
  How much metal sheet, to the nearest m^2, is
  used in making this tank, if 1/15 of the sheet
  actually used was wasted in making the tank ?

 

 NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes

 

 

 

 SURFACE AREA VOLUME CYLINDER CONE CLASS 10 PRACTICE QUESTIONS

 

CHAPTERSCAN 

 

SOLUTIONS

SELINA SOLUTIONS MATHS CLASS 10 CHAPTER 20 EX 20 G CYLINDER, CONE AND SPHERE | VIDEO SOLUTIONS

 SELINA SOLUTIONS MATHS CLASS 10 CHAPTER 20 EX 20 G CYLINDER, CONE AND SPHERE

 VIDEO SOLUTIONS

 

 10. A cylimirical water tank of diameter 2-8 m and height 4.2 m is being fed by a pipe of diameter 7 cm through which water flows at the rate of 4 m Calculate, in minutes, the time it takes to fill the tank

 

 11. Water flows. at 9 km per hour. through a cylindrical pipe of cross-sectional area 25 cm2. If this water is collected into a rectangular cistern of dimensions 7.5 m by 5 m by 4 m: calculate the rise in level in the cistern in 1. hour 15 minutes. 

 

12.The given figure shows the cross-section of a cone. a cylinder and a hemisphere all with the same diameter 10 cm, and the other dimensions are as shown.
Calculate : (a) the total surface area, (b) the total volume of the solid and (c) the density of the material it its total weight is 1.7 kg.

13. A solid, consisting of a right circular cone standing on a hemisphere, is placed upright in a right circular cylinder, full of water. and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of cone is 4 cm. Give your answer to the nearest cubic centimetre. 

 

14 A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3.5 m. Calculate : (i) the total area of the internal surface. excluding the base: (ii) the internal volume of the container in m3. 

 

15. An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and height of the cylindrical part is 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent. Allow 20% extra for fold and for stitching. Give your answer to the nearest m2.
[2001] 

16. A test tube consists of a hemisphere and a cylinder of the same radius. The volume of the water required to fill the whole tube is 4235  15 9 5  , 6 cm', and 6 cm3 of water is required to fill the tube to a level which is 4 cm below the top of the tube. Find the radius of the tube and the length of its cylindrical pan_

 

 17. A solid is in the form of a right circular cone mounted on a hemisphere. The diameter of the base of the cone, which exactly coincides with hemisphere, is 7 cm and its height is 8 cm. The solid is placed in a cylindrical vessel of internal radius 7 cm and height 10 cm. How much water, in cm', will be required to fill the vessel completely ? 

 

18. Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height S cm. Find Abe radius of the cone so formed. 120151 

 

19. A certain number of metallic cones, each of radius 2 cm and height 3 cm, are melted and recast into a solid sphere of radius 6 cm. Find the number of cones used. [2016] 

 

20. A conical tent is to accommodate 77 persons. Each person must have 16 f►i3 of air to breathe. Given the radius of the tent as 7 III, find the height of the tent and also its cursed surface area. 12017] 

 

How to find Area of a Right Angled Triangle

 

In this lecture, we learn how to solve How to find Area of a Right Angled Triangle - with practice questions.

How to find Area and Perimeter of Rectangles

In this video we learn How to find Area and Perimeter of Rectangles.

 

IGCSE Cambridge Maths 0580 Past Papers 2020

 In this video we solve past papers of IGCSE Cambridge Maths Extended(0580) | 2020 Papers | Surface Area/Volume Section.

 

 

 

 

 

 

 We discuss in detail the below formulas: 

Curved surface area of a cylinder 

Total surface area of a cylinder 

Curved surface area of a cone 

Total surface area of a right circular cone 

Volume of a cube 

Volume of a cylinder 

Volume of a cone 

Volume of a sphere 

How to calculate Area and Perimeter of a sector. 

The paper/mark-sheet can be downloaded from 

https://isequaltoklassesnavneet.blogspot.com/2020/09/igcse-cambridge-maths-0580past-papers.html 

 

 Also look at this for extra practice

 

 

ICSE MATHS PAST PAPERS CLASS 10 - 2019/18/17 - WITH SOLUTIONS - ALL SURFACE AREA VOLUME QUESTIONS

 

 

 In this video we solve past papers of ICSE Board - Surface Area/Volume problems. 

We discuss in detail the below formulas: 

Curved surface area of a cylinder 

Total surface area of a cylinder 

Curved surface area of a cone 

Total surface area of a right circular cone 

Volume of a cube 

Volume of a cylinder 

Volume of a cone 

Volume of a sphere of radius 

Volume of a hemisphere 

 

 For extra practice problems do have a look at 

Also have a look at this playlist for more problems