Question

The diagram shows the height (4.5) of a cone that holds ice cream. The cone has a volume of
1.5π cubic inches.

I need explanations please, I will mark you brainliest if I get a good explanation on how and what the sum is about.

Answer 1

The radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.

What is of volume of cone?

Volume of cone is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given as,

$V=\dfrac{1}{3}\pi r^2h$

Here, (r) is the radius of the base of the cone and (h) is the height of the cone.

The diagram of the cone is shown, in which,

• The height of a cone that holds ice cream is 4.5 inches (h=4.5).
• The cone has a volume of 1.5π cubic inches (V=1.5π).

Let suppose the radius of the cone is r inches long. Thus, put the values in the above formula,

$V=\dfrac{1}{3}\pi r^2h\\1.5\pi=\dfrac{1}{3}\pi r^2(4.5)\\1.5\pi\times3=\pi r^2(4.5)\\\dfrac{1.5\pi\times3}{\pi \times 4.5}= r^2\\1= r^2\\r=\sqrt{1}\\r=1\rm\; inches$

Thus, the radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.

Learn more about the volume of cone here;

https://brainly.com/question/16961069

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