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4 years ago

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Mathematics

2 answers:

Lady_Fox [76]4 years ago

8 0

Answer:

97.7 cm

Step-by-step explanation:

The volume of a cylinder is given by the equation

$V=\pi r^2 h$

where:

r is the radius of the cylinder

h is the height of the cylinder

V is the volume

In this problem, we know that the volume of the cylinder is

$V=600,000 cm^3$

Here we are not given the height; here, let's assume it is

h = 20 cm

Therefore, we can re-arrange the equation to find the missing dimension, which is the radius of the cylinder:

$r=\sqrt{\frac{V}{\pi h}}=\sqrt{\frac{600,000}{\pi (20)}}=97.7 cm$

elena-s [515]4 years ago

7 0

Answer:

<h2>The missing value is the height, and it's equal to 746 centimeters, approximately.</h2>

Step-by-step explanation:

The complete question is

<em>Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 10,000π in. The radius is 16</em>

A cylinder volume is defined by

$V= \pi r^{2} h$

Where $V=600,000 }cm^{3}$ and $r=16cm$ .

Replacing given values, we have

$600,000=\pi (16)^{2}h$

Solving for the height, we have

$h=\frac{600,000}{\pi 256} \approx \frac{600,000}{803.84} \approx 746$

Therefore, the missing value is the height, and it's equal to 746 centimeters, approximately.

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Is 0.6 pi rational or Irrational?

algol [13]

Not sure the question is but 0.6 is rational but pi is irrational and anything with pi in it is irrational too

5 0

3 years ago

Read 2 more answers

Use cross products to find the area of the triangle in the xy-plane defined by (1, 2), (3, 4), and (−7, 7).

Free_Kalibri [48]

I love these. It's often called the Shoelace Formula. It actually works for the area of any 2D polygon.

We can derive it by first imagining our triangle in the first quadrant, one vertex at the origin, one at (a,b), one at (c,d), with (0,0),(a,b),(c,d) in counterclockwise order.

Our triangle is inscribed in the $a \times d$ rectangle. There are three right triangles in that rectangle that aren't part of our triangle. When we subtract the area of the right triangles from the area of the rectangle we're left with the area S of our triangle.

$S = ad - \frac 1 2 ab - \frac 1 2 cd - \frac 1 2 (a-c)(d-b) = \frac 1 2(2 ad - ab -cd - ad +ab +cd -bc) = \frac 1 2(ad -bc)$

That's the cross product in the purest form. When we're away from the origin, a arbitrary triangle with vertices $A(x_1, y_1), B(x_2, y_2), C(x_3, y_3)$ will have the same area as one whose vertex C is translated to the origin.

We set $a=x_1 - x_3, b= y_1 - y_3, c=x_2 - x_3, d=y_2- y_3$

$S= ad-bc=(x_1 - x_3)(y_2 - y_3) -(x_2-x_3)(y_1 - y_3)$

That's a perfectly useful formula right there. But it's usually multiplied out:

$S= x_1y_2 - x_1 y_3 - x_3y_2 + x_3 y_3 - x_2 y_1 + x_2y_3 + x_3 y_1 - x_3 y_3$

$S= x_1 y_2 - x_2 y_1 + x_2y_3 - x_3y_2 + x_3 y_1 - x_1 y_3$

That's the usual form, the sum of cross products. Let's line up our numbers to make it easier.

(1, 2), (3, 4), (−7, 7)

(−7, 7),(1, 2), (3, 4),

[tex]A = \frac 1 2 ( 1(7)-2(-7) + 3(2)-4(1) + -7(4) - (7)(3)

8 0

3 years ago

Which of the following sets of data is bimodal?

larisa [96]

Answer:

a. po

sana po maka tulong

8 0

3 years ago

120% of what number is<br> 54?

katen-ka-za [31]

Answer:

Step-by-step explanation:

5 0

2 years ago

Plz i need this asap, if you do not know all of them, plz do not answer

Lelechka [254]

1. sqrt 52 = 7.211 rounds to 7

2. irrational number

3. sqrt 441 = 21....rational

4. 12^2 + 3^2 = h^2
144 + 9 = h^2
153 = h^2
sqrt 153 = h
12.4 = h <===

5. 6^2 + b^2 = 18^2
36 + b^2 = 324
b^2 = 324 - 36
b^2 = 288
b = sqrt 288
b = 16.97 rounds to 17 <==

6. 39^2 + 52^2 = c^2
1521 + 2704 = c^2
4225 = c^2
sqrt 4225 = c
65 = c
(39 + 52) - 65 = 91 - 65 = 26 miles shorter <==

7. 4^2 + b^2 = 16^2
16 + b^2 = 256
b^2 = 256 - 16
b^2 = 240
b = sqrt 240
b = 15.49 rounds to 15.5 <==

8. ?

8 0

3 years ago