CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B

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?

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)

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

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