elenagilbert98
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PLEASE HELP ASAP!!

Mike had a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown above.

Which is closest to the volume of mikes cup?

A. 63 cubic inches.
B. 198 cubic inches.
C. 66 cubic inches.
D. 21 cubic inches.

PLEASE HELP ASAP Mike had a large plastic cup that he is going to fill with water The plastic cup is in the shape of a cone as shown above Which is closest to t class=

Respuesta :

carlosego

Answer: Option C.

Step-by-step explanation:

You must use the formula for calculate the volume of a cone, which is shown below:

[tex]V_\frac{1}{3}r^2h\pi[/tex]

Where r is the radius and h is the height.

Based on the figure attached:

[tex]r=3in\\h=7in[/tex]

Substitute these values into the formula for calculate the volume of a cone, then the result is:

[tex]V_\frac{1}{3}(3in)^2(7in)\pi[/tex]

[tex]V=65.97in^3[/tex]≈66in³

raphealnwobi

The volume of a cone with a radius of 3 in and height of 7 in is 66 in³

What is a volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume (V) of a cone is given by:

V = (1/3) * π * radius² * height

From the diagram, radius = 3 in, height = 7 in, π = 22/7, hence:

V = (1/3) * (22/7) * 3² * 7 = 66 in³

The volume of a cone with a radius of 3 in and height of 7 in is 66 in³

Find out more on volume at: https://brainly.com/question/12410983

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