1 2 3 4 5 6 7 8 9 10 11 12 13 A1 13 A2 13 A3 13 A4 13 A5 13 B 13 C 14 A 14 B 14 C 14 D 14 E

West Bengal Board - Mathematics

16. Right Circular Cone

1. Quadratic Equations in One Variable
2. Simple Interest
3. Theorems Related to Circle
4. Rectangular Parallelopiped or Cuboid
5. Ratio and Proportion
6. Compound Interest and Uniform Rate of Increase or Decrease
7. Theorems Related to Angles in a Circle
8. Right Circular Cylinder
9. Quadratic Surd
10. Theorems Related to Cyclic Quadrilateral
11. Construction: Construction of Circumcircle and Incircle of a Triangle
12. Sphere
13. Variation
14. Partnership Business
15. Theorems Related to Tangent to a Circle
16. Right Circular Cone
17. Construction: Construction of Tangent to a Circle
18. Similarity
19. Real Life Problems Related to Different Solid Objects
20. Trigonometry: Concept of Measurement of Angle
21. Construction: Determination of Mean Proportional
22. Pythagoras Theorem
23. Trigonometric Ratios and Trigonometric Identities
24. Trigonometric Ratios of Complementary Angle
25. Application of Trigonometric Ratios: Heights and Distances
26. Statistics: Mean, Median, Ogive, Mode

Let us Work Out 16

1 2 3 4 5 6 7 8 9 10 11 12 13 A1 13 A2 13 A3 13 A4 13 A5 13 B 13 C 14 A 14 B 14 C 14 D 14 E

Q. 14 E

The ratio of the

Class 10th West Bengal Board - Mathematics 16. Right Circular Cone

Answer :

Let, base radius of the cone = 4r

Base radius of the cylinder = 3r

Let, the height of the cone = 3h

The height of the cylinder = 2h

∴ volume of the cone,

= 1/3 × π × (4r)² × 3h

= 16πr²h

∴ volume of the cylinder,

= π × (3r)² × 2h

⇒ 18πr²h

∴ ratio of the volumes of the cylinder and the cone,

= (16πr²h) ∶ (18πr²h)

= 8 ∶ 9

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSThe numerical val

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

caricature

view all courses

RELATED QUESTIONS :

Let us fill in thWest Bengal Board - Mathematics

If the height andWest Bengal Board - Mathematics

A heap of wheat iWest Bengal Board - Mathematics

The curved surfacWest Bengal Board - Mathematics

The numerical valWest Bengal Board - Mathematics

If the volume of West Bengal Board - Mathematics

In a right circulWest Bengal Board - Mathematics

If the ratio of tWest Bengal Board - Mathematics

Let us write whetWest Bengal Board - Mathematics

If each of radiusWest Bengal Board - Mathematics