Frustum of A Cone – MCQ

1. There will be total 10 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The diameters of the top and bottom of a bucket are 40 cm and 20 cm respectively. If the depth of the bucket is 12 cm then its volume will be

8000 cm³

8800²

9000²

4400²

Question 1 of 10

2. The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm, its volume is

89009 cm³

56090 cm³

80080 cm³

9000 cm³

Question 2 of 10

3. The radii of the ends of a frustum of a cone of height h cm are r₁ cm and r₂ cm. The volume in cm³ of the frustum of the cone is:

A

B

C

D

Question 3 of 10

4. A frustum of a right circular cone has a diameter of base 20 cm, of top 12 cm, and height 3 cm. the area of the whole surface is

548.45 cm²

338.35 cm²

678.85 cm²

628.75 cm²

Question 4 of 10

5. The radii of the circular ends of a conical curd container, 6 cm high are 16 cm and 24 cm. The volume of the container in litres will be

6.75 litres

8.5 litres

6 litres

7.64 litres

Question 5 of 10

6.

104.49 l

10.95 l

12 l

10.45 l

Question 6 of 10

7. The slant height of the frustum of a cone is 6 cm and the perimeter of its circular ends are 20 cm and 8 cm. Its curved surface area is

84 cm²

48 cm²

54 cm²

90 cm²

Question 7 of 10

8. A bucket of height 12 cm, has a top and bottom diameter of 40 cm and 20 cm respectively. The cost of tin sheet used for making the bucket at the rate of Rs. 1.20 per dm2 will be

Rs. 21.44

Rs 45.50

Rs. 60.45

Rs. 20.67

Question 8 of 10

9. An open container made up of a metal sheet is in the form of a frustum of a cone of height 8 cm with radii of its lower and upper ends as 4 cm and 10 cm respectively. The cost of the oil at the rate of Rs. 50 per litre, which can completely fill the container, will be

Rs. 45.60

Rs. 76.50

Rs.65.50

Rs.70

Question 9 of 10

10. Haneef is processing sugarcane juice to make molasses, which is poured into moulds in the shape of a frustum of a cone having the diameters of the two circular faces as 30 cm and 35 cm and the vertical height of the mould is 14 cm. If each cm³ of molasses has a mass of about 1.2 g then the mass of the molasses that can be poured into each mould will be about

30 kg

20g

15 kg

14 kg

Question 10 of 10

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