Question

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r? What is the ratio of the radius of a circle to its circumference?

Answer 1

Given:
Volume of the cone = π r² h/3

radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r

V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12

Answer 2

Answer:

C.   $V = \frac{1}{12} π r^{3}$

Step-by-step explanation:

A.  $V = \frac{1}{3} π r^{2} h$

B.  $V = \frac{1}{6} π r^{2}$

C.   $V = \frac{1}{12} π r^{3}$

D.   $V = 2 π r^{3}$

$π$ Is Meant To be π