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What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)
A) 46 mm3
B) 128 mm3
C) 183 mm3
D) 257 mm3

What is the volume of the cone to the nearest cubic millimeter Use π 314 A 46 mm3 B 128 mm3 C 183 mm3 D 257 mm3 class=

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Answer:

V = 183 mm^3

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(base)(height).

In this case the base is a circle of radius 5 mm, meaning that its area is B = (3.14)(5 mm)^2, or 78.5 mm^2.

The height of the cone is 7 mm.

Thus, the volume of this cone is

V = (1/3)(base)(height), or

V = (1/3)(78.5 mm^2)(7 mm), which, to the nearest cubic mm is

V = 183 mm^3

The volume of the given cone with a radius of  5 mm and height of 7 mm is 183 cubic mm. So, option C is correct.

How to calculate the volume of a cone?

The volume of a cone is calculated by the equation

V = [tex]\frac{1}{3}[/tex] πhr² cubic units

Where r  represents the radius and h represents height of the cone.

Calculating the volume for the given cone:

The dimensions of the given cone are h = 7 mm and r = 5 mm

On substituting the radius and height in the formula we get

V = [tex]\frac{1}{3}[/tex] π × 7 × (5)² mm³

It is given that π = 3.14

Then,

V = [tex]\frac{1}{3}[/tex] × 3.14 × 7 × 25

  = 183.16 cubic mm

Rounding to the nearest cubic millimeter we get Volume = 183 mm³

Therefore, the volume of the given cone is 183 mm³. Thus, option C is correct.

Learn more about the cone's volume here:

https://brainly.com/question/1082469

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