Answer:
= 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
Answer:
A) [tex]46\text{ mm}^3[/tex].
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.
[tex]V=\frac{\pi r^2h}{3}[/tex], 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 [tex]r=\frac{5\text{ mm}}{2}=2.5\text{ mm}[/tex].
[tex]V=\frac{3.14\times (\text{2.5 mm})^2\times \text{7 mm}}{3}[/tex]
[tex]V=\frac{3.14\times 6.25\text{ mm}^2\times \text{7 mm}}{3}[/tex]
[tex]V=\frac{137.375 \text{ mm}^3}{3}[/tex]
[tex]V=45.791666\text{ mm}^3[/tex]
Upon rounding our answer to nearest cubic millimeter, we will get:
[tex]V\approx 46\text{ mm}^3[/tex]
Therefore, the volume of the cone is approximately 46 cubic millimeters and option A is the correct choice.
