A cylinder has a volume of 33 cubic inches. What is the volume of a cone with the same radius and height?

A: 44 cubic inches
B: 33 cubic inches
C: 11 cubic inches
D: 99 cubic inches

Respuesta :

C

Step-by-step explanation:

The volume of a cylinder = πr²h

= 33 cubic inches

The volume of a cone = ¹/3 πr²h

If the cylinder and come share the same radius and height then ‘πr²h’ part of the formulas is the same for both;

It means the difference in proportionality is ¹/3 (because even π is the same across board). The volume of the cone is therefore;

¹/3 (33)

= 11

= 11 cubic inches

Learn More:

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