Question

If the radius and height of a right circular cone and right circular cylinder are equal then the ratio of their volumes is A) 1:3 B) 1:9 C) 9:1 D) 3:1​

Answer 1

Answer:

Option (a) is correct.

Step-by-step explanation:

Let r and h be the radius and height  of the right circular cone and right circular cylinder respectively.

As we know that,

Volume of cylinder=$\pi r^{2} h$

Volume of cone = (1/3) × $\pi r^{2} h$

                            = (1/ 3)× volume of cylinder

Ratio of volume of cone and volume of cylinder={(1/3)×volume of cylinder}/volume of cylinder

                                                                           = 1/3 =1 : 3