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2 years ago

Would mind give me only answer

Mathematics

1 answer:

anyanavicka [17]2 years ago

5 0

Answer:

The volume is 2224.96632 or 2224.97(if rounded)

Step-by-step explanation:

First of all, I divided the diameter by two to find the radius:

16.2/2=8.1

Then I used the formula:

V =4/3 πr³

I hope this helps

You might be interested in

Solve for x: 0⁰ < x< 360⁰ <img src="https://tex.z-dn.net/?f=1%20%2B%205%20%5Csin%28x%20-%2010%20%7B0%7D%5E%7B0%7D%20%29

Katena32 [7]

Answer:

x = 88.463°

Step-by-step explanation:

We are given a trigonometric equation and we need to find out the value of x. The angle x lies between 0° and 360° . That is ,

$\rm\implies\red{ 0^0 < x < 360^0 }$

Given trigonometric equation :-

$\rm\implies\red{ 1 + 5 sin (x-100^0)=0 }$

Subtracting 1 both sides , we have ,

$\rm\implies 5sin( x - 100^0)= -1$

Divide both sides by 5 ,

$\rm\implies sin( x - 100^0)= \dfrac{-1}{5}$

This equation can be written as ,

$\rm\implies x - 100^0 =sin^{-1}\bigg(\dfrac{ -1}{5}\bigg) \\\\\rm\implies x - 100^0 = -11.53^0 \\\\\rm\implies x = 100^0-11.53^0\\\\\rm\implies\boxed{\bf x = 88.463^0}$

7 0

3 years ago

Jennifer will choose the office with the greatest area from this table.

ahrayia [7]

Answer:

Step-by-step explanation:

I’m pretty sure it’s 3

5 0

2 years ago

Read 2 more answers

I need to solve for A. Please help! Thank you!

nlexa [21]

Step-by-step explanation:

125 is vertically opposite to the interior angle of triangle

then X+40+X+31+125=180(sum of angle of triangle is 180)

the we get X= -22

8 0

2 years ago

Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is th

gtnhenbr [62]

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

$r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}$ (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

$5t=20\\\\t=\frac{20}{5}=4$

(b) The velocity of the particle is the derivative, in time, of the vector position:

$v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}$ (2)

and for t=4 (height = 20):

$v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}$

(c) The vector parametric equation of the tangent line is given by:

$r_t(t)=r_o+vt$ (3)

ro: position of the particle for t=4

$r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}$

Then you replace ro and v in the equation (3):

$r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}$

3 0

3 years ago

A cycle race in France is 2214.5 miles in length. Miguel knows his average speed from previous races is 21.14 miles per hour. Fo

tangare [24]

Answer: 12 days

Step-by-step explanation:

Distance = speed / time

2214.50 = 21.14 / t

t = 2214.50 / 21.14 = 104.75 hours

At 9 hours per day, it will take

104.754/9 = 11.64 = 12 days

8 0

3 years ago

Would mind give me only answer​

Would mind give me only answer