Question

Helppp

A cylinder has volume 45 cm³. What is the volume of a cone with the same radius and height? O 15 cm³ O 22.5 cm³ O 90 cm³ 135 cm³​

Answer 1

Answer:

correct option is O 15 cm³.

Step by step solved:

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Since the cylinder has a volume of 45 cm³, we can write:

45 = πr²h

We can rearrange this equation to solve for h:

h = 45 / (πr²)

Now, we need to find the volume of a cone with the same radius and height. The formula for the volume of a cone is V = (1/3)πr²h.

Substituting the value of h that we found above, we get:

V = (1/3)πr²(45 / (πr²))

Simplifying this expression, we get:

V = 15

Therefore, the volume of the cone with the same radius and height as the cylinder is 15 cm³.

So, the correct option is O 15 cm³.

Answer 2

Solution is in the attachment!! :)