CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B

Read and download free pdf of CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 13 Surface Area and Volume Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

Chapter 13 Surface Area and Volume Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

Class 10 Mathematics Chapter 13 Surface Area and Volume Worksheet Pdf

Question. A cylindrical pencil sharpened at one edge is the combination of
(a) a cone and a cylinder
(b) frustum of a cone and a cylinder
(c) a hemisphere and a cylinder
(d) two cylinders
Answer : A

Question. A surahi is the combination of
(a) a sphere and a cylinder
(b) a hemisphere and a cylinder
(c) two hemispheres
(d) a cylinder and a cone
Answer : A

Question. In a right circular cone, the cross-section made by a plane parallel to the base is a
(a) Triangle
(b) Circle
(c) Square
(d) None of these
Answer : B

Question. If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
(a) 4πr2
(b) 3πr2
(c) 2πr2
(d) πr2
Answer : A

Assertion-Reason Type Questions

In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Question. Assertion (A): The number of coins 1.75 cm in diameter and 2 mm thick is formed from a melted cuboid 10 cm × 5.5 cm × 3.5 cm is 400.
Reason (R): Volume of a cylinder = πr2h cubic units and volume of cuboid = (l × b × h) cubic units.
Answer : A

Question. Assertion (A): Number of spherical balls that can be made out of a solid cube of 1ead whose edge is 44 cm, each ball being 4 cm in diameter is 2541.
Reason (R): Number of balls = Volume of one ball/Volume of lead
Answer : C

Answer the following.

Question. What is the capacity of cylindrical vessel with the hemispherical bottom portion raised upwards?

""CBSE-Class-10-Mathematics-Surface-Areas-And-Volumes-Worksheet-Set-B

Answer : πr2/3 [3h - 2r]

Question. A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of two parts are equal, then what is the ratio of its radius and the slant height of the conical part?
Answer : 
1 : 2
 

Case Study Based Questions

I. The Great Stupa at Sanchi is one of the oldest stone structures in India, and an important monument of Indian Architecture. It was originally commissioned by the emperor Ashoka in the 3rd century BCE. Its nucleus is a simple hemispherical brick structure built over the relics of the Buddha. It is a perfect example of combination of solid figures. A big hemispherical dome with a cuboidal structure mounted on it. (Take = 22/7)

""CBSE-Class-10-Mathematics-Surface-Areas-And-Volumes-Worksheet-Set-B-1

Question. The volume of the hemispherical dome if the height of the dome is 21 m, is
(a) 19404 cu. m
(b) 2000 cu. m
(c) 15000 cu. m
(d) 19000 cu. m
Answer : A

Question. The formula to find the volume of sphere is
(a) (2/3)πr3
(b) (4/3)πr3
(c) 4 πr2
(d) 2 πr2
Answer : B

Question. The cloth required to cover the hemispherical dome if the radius of its base is 14 m is
(a) 1222 sq. m
(b) 1232 sq. m
(c) 1200 sq. m
(d) 1400 sq. m
Answer : B

Question. The total surface area of the combined figure, i.e. hemispherical dome with radius 14 m and cuboidal shaped top with dimensions 8 m × 6 m × 4 m is
(a) 1200 sq. m
(b) 1232 sq. m
(c) 1392 sq.m
(d) 1932 sq. m
Answer : C

Question. The volume of the cuboidal shaped top with dimensions mentioned in question 4, is
(a) 182.45 m3
(b) 282.45 m3
(c) 292 m3
(d) 192 m3
Answer : D

SURFACE AREAS AND VOLUMES
 
SECTION A: 
 
1. If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5cm and height 6 cm, then how much water flows out of the cylindrical cup?
 
→ (38.8 cm3)
 
2. A sphere and a cube are of same height, find the ratio of their volumes if π = 22/7
 
→ (11 : 21)
 
3. Volumes of two spheres are in the ratio 64:27. Find the ratio of their surface areas.
 
→ (16 : 9)
 
SECTION B: 
 
4. A rectangular sheet of paper of dimensions 44cm X 18cm is rolled along its length and a cylinder is formed. Find the volume of the cylinder so formed.
 
→ (2772cm3)
 
5. What is the volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm?
 
→ (194.04 cm3)
 
6. A cubical ice cream brick of edge 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm up to its brim. How many children will get the ice cream cones?
 
→ (363)
 
SECTION C: 
 
7. The radii of the circular ends of a bucket of height 15 cm are 14 cm and r cm (r <14 cm). If the volume of bucket is 5390 cm3, then find the value of r.
 
→ (7 cm)
 
8. A solid right circular cylinder has a total surface of 462 sq. cm. Its curved surface area is one-third of its total surface area. Find the volume of the cylinder.
 
→ (539 cm3 )
 
9. If a wire is bent into the shape of a square, then the area enclosed by the square is 81cm2. When the same wire is bent into a semi-circular shape, find the area enclosed by the semi-circle.
 
→ (77cm2)
 
10. 15 glass spheres each of radius 2 cm are packed into a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and then the box is filled with water. Find the volume of water filled in the box. (π = 3.14)
 
→ (521.6 cm3)
 
SECTION D: 
 
11. Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm?
 
→ (2 hours)
 
12. The circumference of the base of a conical tent is 44m. If the height of tent is 24m, find the length of the canvas used in making the tent, if the width of the canvas is 2m.
 
→ (275 m)
 
13. The height of the Cone is 30 cm A small cone is cut off at the top by a plane parallel to its base if its volume be 1/27th of the volume of the given cone at what height above the base is the section cut?
 
→ (20 cm)
 
14. A hollow cone is cut by a plane parallel to the base and the upper portion is removed. If the curved surface of the remainder is 8/9th of the curved surface of the whole cone, find the ratio of the line segments into which the cone’s altitude is divided by the plane.
 
→ (1:2)
 
15. A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (π = 3.14)
 
→ (3768cu.cm,
1318.8sq.cm)

 

Please click on below link to download CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B

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CBSE Class 10 Mathematics Chapter 13 Surface Area and Volume Worksheet

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