QA – Placement Quizzes | Mensuration 3D | Question 15

Given: The radii of two cones of copper and aluminium are in the ratio of 3:7, consider their volumes to be equal. Find the ratio of their heights.

(A)

9:49

(B)

3:7

(C)

49:9

(D)

7:3

Answer: (C)

Explanation:

Let the radius and height of the two cones be R, H and r, h respectively such that R:r = 3:7. Then, Volume of the cone C = 1/3 * π * R² * H Volume of the cone c = 1/3 * π * r² * h Now, 1/3 * π * R² * H = 1/3 * π * r² * h H:h = r²:R² = 7²:3² = 49:9.

Quiz of this Question
Please comment below if you find anything wrong in the above post

My Personal Notes arrow_drop_up

Save