Mathematics, 21.06.2019 20:30 brookieharrisop5n7us

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?

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Answer from: romerok568

= 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 from: yolomcswaggin20

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 from: bobby3350

301mm^3

Step-by-step explanation:

V=πr^2h/3

volume= 3.14 * 6^2 * 8/3

301mm^3

Answer from: LexyV1242

answer:

step-by-step explanation:

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Answer from: school4life110

step-by-step explanation:

Answer from: karlacarreras152

Therefore,

Volume of the cone to the nearest cubic millimeter is 335 mm³.

Step-by-step explanation:

Consider a Cone with,

Radius = r = 8 mm { if diameter is given then divide by 2 to get radius}

Height = h = 5 mm

pi = 3.14

To Find:

volume of the cone to the nearest cubic millimeter = ?

Solution:

For a Cone Volume is given as,

$\textrm{Volume of a Cone}=\dfrac{1}{3}\pi (Radius)^{2}\times Height$

Substituting the values we get

$\textrm{Volume of a Cone}=\dfrac{1}{3}\times 3.14\times 8^{2}\times 5=334.9333\approx 335\ mm^{3}$

Therefore,

Volume of the cone to the nearest cubic millimeter is 335 mm³.

Answer from: elijahbebeastin

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

Answer from: iyeshaik

The answer would be a

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What is the volume of the cone to the nearest cubic millimeter? (use π = 3.14) a) 46 mm3 b...