CBSE Class 10 Mathematics Chapter 13 Surface Areas and Volumes Multiple Choice Questions with Answers. MCQ Class 10 Maths Surface Areas and Volumes with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Surface Areas and Volumes MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 4
Question 1:
If a cylinder is covered by two hemispheres shaped lid of equal shape, then the total curved surface area of the new object will be
(a) 4πrh + 2πr2
(b) 4πrh – 2πr2
(c) 2πrh + 4πr2
(d) 2πrh + 4πr
Correct Answer – (C)
Curved surface area of cylinder = 2πrh
The curved surface area of hemisphere = 2πr2
Here, we have two hemispheres.
So, total curved surface area = 2πrh + 2(2πr2) = 2πrh + 4πr2
Question 2 :
Fifteen solid spheres are made by melting a solid metallic cone of base diameter 2cm and height 15cm. The radius of each sphere is:
(a) ½
(b) ¼
(c) 1/∛2
(d) 1/∛4
Correct Answer – (D)
Volume of 15 spheres = Volume of a cone
15 x (4/3) π r3 = ⅓ πr2h
5×4 π r3 = ⅓ π 12(15)
20r3 = 5
r3 = 5/20 = ¼
r = 1/∛4
Question 3 :
If r is the radius of the sphere, then the surface area of the sphere is given by;
(a) 4 π r2
(b) 2 π r2
(c) π r2
(d) 4/3 π r2
Correct Answer – (A)
Question 4 :
If a cone is cut parallel to the base of it by a plane in two parts, then the shape of the top of the cone will be a:
(a) Sphere
(b) Cube
(c) Cone itself
(d) Cylinder
Correct Answer – (C)
Question 5 :
In a right circular cone, the cross-section made by a plane parallel to the base is a
(a) circle
(b) frustum of a cone
(c) sphere
(d) hemisphere
Correct Answer – (A)
Question 6 :
The radius of the top and bottom of a bucket of slant height 35 cm are 25 cm and 8 cm. The curved surface of the bucket is:
(a) 4000 sq.cm
(b) 3500 sq.cm
(c) 3630 sq.cm
(d) 3750 sq.cm
Correct Answer – (C)
Curved surface of bucket = π(R1 + R2) x slant height (l)
Curved Surface = (22/7) x (25 + 8) x 35
CSA = 22 x 33 x 5 = 3630 sq.cm.
Question 7 :
If we change the shape of an object from a sphere to a cylinder, then the volume of cylinder will
(a) Increase
(b) Decrease
(c) Remains unchanged
(d) Doubles
Correct Answer – (C)
Question 8 :
If we cut a cone in two parts by a plane parallel to the base, then the bottom part left over is the:
(a) Cone
(b) Frustum of cone
(c) Sphere
(d) Cylinder
Correct Answer – (B)
Question 9 :
The shape of an ice-cream cone is a combination of:
(a) Sphere + cylinder
(b) Sphere + cone
(c) Hemisphere + cylinder
(d) Hemisphere + cone
Correct Answer – (D)
Question 10 :
A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called [NCERT Exemplar Problems]
(a) a frustum of a cone
(b) cone
(c) cylinder
(d) sphere
Correct Answer – (A)
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.1
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.2
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.3
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.4
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.5
