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Sav [38]
3 years ago
12

what is the volume of a cone if the radius is 6mm and the height is 4mm. Round your answer to the nearest tenth. use 3.14 for pi

. ​
Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

163.2 cubic millimeters (or) 163.2 mm^3

Step-by-step explanation:

Given: Radius of cone= 6mm

Height of cone= 4mm

π= 3.14(Approximately)

Required: Volume(V)

Volume of cone= 1/3* π* r^2 * h

Volume= 1/3* (3.14) * (6 m)^2 * (4m)

= 1/3* (3.14) * (36) * (4)

= 163.2 mm^3

Therefore, the Volume of the cone is 163.2 mm^3 (to the nearest tenth) :)

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In 2013 nyc had 66.37 inches of precipitation what is that amount of precipitation to the nearest inch
V125BC [204]
Since we are rounding to the nearest inch, we want to look at the tenths place. The rule for rounding is 5 and up, we round up, 4 and below, stay. Since 3 is below 5, we stay. Therefore your answer should be 66 inches of precipitation. Hope this helps!
8 0
3 years ago
Read 2 more answers
9sin(2x) sin (x) = 9cos(x)
nikdorinn [45]

Answer:

\sin(2x)  = 2 \sin(x)  \cos(x)  \\ 9( 2 \sin(x)  \cos(x) ) \sin(x)  = 9 \cos(x)  \\ 18 { \sin}^{2} (x)9 \cos(x)  - 9 \cos(x)  = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\  \sin(x)  =  \pm \frac{1}{ \sqrt{2} }  \\  \cos(x)  = 0 \\ x =  { \cos}^{ - 1} (0) \\ x =  \frac{ \pi}{2}  = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \:  \forall \: n \:  \in \:  \Z  \\ = 90 \degree +  360\degree\: n \:  \forall \: n \:  \in \:  \Z \\  =  \pm\frac{ \pi}{4}  \pm2\pi \: n \:  \forall \: n \:  \in \:  \Z \\ x =  \pm45\degree  \pm 360\degree\: n \:  \forall \: n \:  \in \:  \Z

8 0
2 years ago
How to graph 14x+18y=126
Burka [1]

  • We need to rearrange this into y=my+c
  • Subtract 14x from both sides
  • 18y=-14x+126
  • Divide both sides by 2
  • 9y=-7x+63
  • Divide both sides by 9
  • y=\frac{-7x+63}{9}=\frac{-7x}{9} +\frac{63}{9}
  • Plot the point (0, 63/9)
  • Then pick some x values and put them into the equation to find the respective y values
  • Then plot those points
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4 0
2 years ago
A 2D vector can have a component equal to zero even when its magnitude is nonzero.
lys-0071 [83]

Answer:

T F F F T F T

Step-by-step explanation:

A 2D vector can have a component equal to zero even when its magnitude is nonzero. TRUE.

it will be actually a 1d vector, but it's still a 2d vector too. this happens when the vector it's aligned to one of the axis.

The direction of a vector can be different in different coordinate systems. FALSE

The direction of a vector is independent of any coordinate system.

A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. FALSE.

because the only way \sqrt{x^{2} +y^{2} } =0 is that both x and y are equal to zero

The magnitude of a vector can be different in different coordinate systems. FALSE.

The magnitude stays the same in every coordinate system

It is possible to multiply a vector by a scalar. TRUE.

it changes only it's magnitude.

It is possible to add a scalar to a vector. FALSE.

you can´t sum elements of diferent spaces. R, R^{2}, etc

The components of a vector can be different in different coordinate systems.TRUE.

The components of a vector are just a way for identifying the vector, in a determinate coordinate system, the way i call those components will change as I change the name I call every point in the plane.

5 0
3 years ago
Can someone explain to me on how to do this?
sp2606 [1]

Answer:$1304.89

Step-by-step explanation:

P(1 + r/n)^r*t

500 ( 1 + 0.08/52) ∧ 52*12

500 (1.00154)^624

500 ( 2.61)

1304.88523

7 0
3 years ago
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