CBSE Class 10 Maths – MCQ and Online Tests – Unit 13 – Surface Areas and Volumes
Every year CBSE conducts board exams for 10th standard. These exams are very competitive to all the students. So our website provides online tests for all the 10th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.
These online tests are based on latest CBSE Class 10 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.
CBSE Class 10 Maths – MCQ and Online Tests – Unit 13 – Surface Areas and Volumes
Question 1.
If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:
(a) 27 : 64
(b) 64 : 27
(c) 4 : 3
(d) 3 : 4
Answer
Answer: (b) 64 : 27
Question 2.
A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
(a) 3 : 1 : 2
(b) 3 : 2 : 1
(c) 1 : 2 : 3
(d) 1 : 3 : 2
Answer
Answer: (a) 3 : 1 : 2
Question 3.
If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:
(a) XYZ
(b) 3XYZ
(c) \(\sqrt{xyz}\)
(d) \(\sqrt{3xyz}\)
Answer
Answer: (c) \(\sqrt{xyz}\)
Question 4.
The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:
(a) 9 : 4
(b) 4 : 9
(c) 3 : 2
(d) 2 : 3
Answer
Answer: (a) 9 : 4
Question 5.
The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R – r): r is:
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) 4 : 9
Answer
Answer: (a) 1 : 2
Question 6.
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:
(a) 27 : 20
(b) 20 : 27
(c) 9 : 4
(d) 4 : 9
Answer
Answer: (b) 20 : 27
Question 7.
If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:
(a) 2 : 3
(b) 3 : 4
(c) 1 : 4
(d) 4 : 1
Answer
Answer: (c) 1 : 4
Question 8.
If the volumes of a cube is 1728 cm³, the length of its edge is equal to:
(a) 7 cm
(b) 12 cm
(c) 18 cm
(d) 19 cm
Answer
Answer: (b) 12 cm
Question 9.
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .
(a) 9.7
(b) 72.6
(c) 58.2
(d) 19.4
Answer
Answer: (d) 19.
Question 10.
The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as \(\frac{22}{7}\), the capacity of bowl in cm³ is:
(a) 2772
(b) 924
(c) 19404
(d) 9702
Answer
Answer: (a) 2772
Question 11.
The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is:
(a) √2 : 1
(b) 1 : 2√2
(c) 1 : 8
(d) 1 : 4
Answer
Answer: (b) 1 : 2√2
Question 12.
The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:
(a) 2 : 3
(b) 3 : 2
(c) 8 : 27
(d) 4 : 9
Answer
Answer: (d) 4 : 9
Question 13.
Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:
(a) 80 cm²
(b) 64 cm²
(c) 40 cm²
(d) 8 cm²
Answer
Answer: (c) 40 cm²
Question 14.
A cylindrical pencil sharpened at one edge is combination of:
(a) a cone and a cylinder
(b) frustum of a cone and cylinder
(c) a hemisphere and a cylinder
(d) four cylinders
Answer
Answer: (a) a cone and a cylinder
Question 15.
Taking π = \(\frac{22}{7}\), if surface area of a sphere is 616 cm², then its diameter is:
(a) 7 cm
(b) 14 cm
(c) 56 cm
(d) 28 cm
Answer
Answer: (b) 14 cm
Question 16.
The area of the square that can be inscribed in a circle of radius 8 cm is (in cm²):
(a) 256
(b) 128
(c) 64√2
(d) 64
Answer
Answer: (b) 128
Question 17.
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:
(a) 60π cm²
(b) 68π cm²
(c) 1200π cm²
(d) 136π cm²
Answer
Answer: (d) 136π cm²
Question 18.
A shuttle cock used for playing badminton has the shape of a combination of:
(а) a cylinder and a sphere
(b) a cylinder and a hemisphere
(c) a cone and a sphere
(d) a frustum of a cone and a hemisphere
Answer
Answer: (d) a frustum of a cone and a hemisphere
Question 19.
The total surface area of a solid hemisphere of radius r is:
(a) 47πr²
(b) 2πr²
(c) \(\frac{4}{3}\)πr³
(d) 3πr²
Answer
Answer: (d) 3πr²
Question 20.
The radius of a wire is decreased to one third. If volume remains the same, the length will become:
(a) 3 times
(b) 6 times
(c) 9 times
(d) 27 times
Answer
Answer: (c) 9 times
Question 21.
The volume of a right circular cylinder is 345 cm³. Then, the volume of a right circular cone whose radius of the base and height is the same as of circular cylinder will be:
(a) 345 cm³
(b) 690 cm³
(c) 115 cm³
(d) 230 cm³
Answer
Answer: (c) 115 cm³
Question 22.
The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and 16 cm. then height of bucket is:
(a) 22 cm
(b) 24 cm
(c) 10 cm
(d) 25 cm
Answer
Answer: (b) 24 cm
Question 23.
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is:
(a) 9.7
(b) 77.6
(c) 58.2
(d) 19.4
Answer
Answer: (d) 19.4
Question 24.
By melting a solid sphere of radius 5 cm a solid right circular cone of the same circular base radius is made. The height of cone is:
(a) 20 cm
(b) 10 cm
(c) 5 cm
(d) 12 cm
Answer
Answer: (a) 20 cm
Question 25.
A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:
(a) 3 : 1
(b) 1 : 3
(c) 2 : 3
(d) 1 : 1
Answer
Answer: (a) 3 : 1
Question 26.
Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is:
(a) 3 cm
(b) 6 cm
(c) 12 cm
(d) 8 cm
Answer
Answer: (b) 6 cm
Question 27.
The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is:
(a) 100
(b) 9
(c) 75
(d) 20
Answer
Answer: (c) 75
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