A right circular cone has a height of 22   centimeters   cm and a base with a diameter of

Question

A right circular cone has a height of 22 &#160; centimeters &#160; cm and a base with a diameter of 6 &#160; cm . The volume of this cone is n &#960; &#160; cm 3 . What is the value of n ?

Accepted Answer

The correct answer is 66 . It&rsquo;s given that the right circular cone has a height of 22 centimeters cm and a base with a diameter of 6 &#160; cm . Since the diameter of the base of the cone is 6 &#160; cm , the radius of the base is 3 &#160; cm . The volume V , in &#160; cm 3 , of a right circular cone can be found using the formula V = 1 3 &#960; r 2 h , where h is the height, in &#160; cm , and r is the radius, in &#160; cm , of the base of the cone. Substituting 22 for h and 3 for r in this formula yields V = 1 3 &#960; 3 2 22 , or V = 66 &#960; . Therefore, the volume of the cone is 66 &#960; &#160; cm 3 . It&rsquo;s given that the volume of the cone is n &#960; &#160; cm 3 . Therefore, the value of n is 66 .

Question 243579