Janna is using a cone-shaped cup to fill a cylindrical container.
The cup has the same height and radius as the container. How many times will she have to fill the cylindrical container?
A. 1/3
B. 1
C. 2
D. 3
It didn't show the numbers for the radius or anything, I'm not good at these type of questions. Can someone show me how to work it out?
the volume of a pointy thing with straight sides is (1/3) of the volume of something of the same height and base but the base carried up to the top.
So
you need three cone cups to fill one cylinder.
Thank you
You are welcome.
A cylinder‐shaped cup and a cone‐shaped cup both have radii of 3 inches and heights of 5 inches. The volume cone will be
volume of the cylinder.
To solve this problem, we'll need to understand the relationship between the volume of a cone and the volume of a cylinder.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.
In this problem, since the height and radius of the cup and the container are the same, we can assume that the volume of the cone and the volume of the cylinder will be the same as well.
Let's denote the number of times Janna fills the cylindrical container with x. We can set up an equation to represent this relationship:
(x)(cone volume) = (cylinder volume)
Since the volume of the cone is (1/3)πr^2h and the volume of the cylinder is πr^2h, we can write the equation as:
(x)(1/3)πr^2h = πr^2h
Simplifying the equation, we can cancel out the common terms (πr^2h) and solve for x:
(x)(1/3) = 1
Multiplying both sides of the equation by 3, we get:
x = 3/1
So, Janna will have to fill the cylindrical container 3 times.
Therefore, the answer is D. 3.