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) 275 mm3 diameter = 5 mm height = 7 mm how do you do this problem step by step?

  = 45.791666666666 mm^3

Step-by-step explanation:

Volume of a cone is given by

V = 1/3 pi r^2 h

We know the diameter = 5

The radius is 1/2 the diameter

r = 5/2

The height is 7

Using pi = 3.14

V = 1/3 *(3.14) * (5/2)^2 *7

  = 1/3 *(3.14) * 25/4 *7

  = 45.791666666666

A) .

Step-by-step explanation:

We have been given that the diameter of a cone is 5 mm and height is 7 mm. We are asked to find the volume of the given cone.

We will use volume of cone formula to solve our given problem.

, where,

V = Volume of cone,

r = Radius of cone,

h = Height of cone.

We know that radius is half the diameter, so radius of our given cone would be .

Upon rounding our answer to nearest cubic millimeter, we will get:

Therefore, the volume of the cone is approximately 46 cubic millimeters and option A is the correct choice.