Question

The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.

Answer 1

Answer: $771.41\ units^3$

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of  a right cylinder can be found with this formula:

$V_{cy}=\pi r^2h$

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of  a right cone can be found with this formula:

$V_{co}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

$V_{cy}=2,314.25\ units^3\\\\r=8.9\ units$

Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by $\frac{1}{3}$.

Then, you get:

$V_{co}=\frac{1}{3}(2,314.25\ units^3)\\\\V_{co}=771.41\ units^3$

Answer 2

Answer: D. 771.42units3

Step-by-step explanation: