Question

What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)

Answer 1

Answer:

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

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.

$V=\frac{\pi r^2h}{3}$, 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 $r=\frac{5\text{ mm}}{2}=2.5\text{ mm}$.

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

$V=\frac{3.14\times 6.25\text{ mm}^2\times \text{7 mm}}{3}$

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

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

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

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