Answer:
volume of the cone =628 cm³
Step-by-step explanation:
To solve this problem, we need to take note of the following:
Volume of a cone =[tex]\frac{1}{3}[/tex] πr²h
Volume of a cylinder =πr²h
where r = radius and h = height
This implies that volume of a cone =[tex]\frac{1}{3}[/tex] (volume of a cylinder)
From the question, since the cone has the same radius and height as the cylinder, and the volume of the cylinder is 1884 cm³, then we can use the above relationship to find the volume of the cone
volume of a cone =[tex]\frac{1}{3}[/tex] (volume of a cylinder)
=[tex]\frac{1}{3}[/tex] (1884)
=628 cm³
volume of the cone =628 cm³
