Question

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?

Answer 1

A)
`46\text{ mm}^3`.

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.

`V=(\pi r^2h)/(3)`, 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
`r=\frac{5\text{ mm}}{2}=2.5\text{ mm}`.

`V=\frac{3.14* (\text{2.5 mm})^2* \text{7 mm}}{3}`

`V=\frac{3.14* 6.25\text{ mm}^2* \text{7 mm}}{3}`

`V=\frac{137.375 \text{ mm}^3}{3}`

`V=45.791666\text{ mm}^3`

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

`V\approx 46\text{ mm}^3`

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

Answer 2

= 45.791666666666 mm^3

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