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3 years ago

How many squares are in a cube

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

6 one for each side/face and base

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A cylinder is placed within a cube. The diameter of the cylinder is equal to the length of each side of the cube. What is the vo

pochemuha

The volume of a shape is the amount of space in it.

<em>The volume outside the cylinder, but inside the cube is 214.6 cubic inches</em>

The given parameter is:

$l = 10$ ---- length of the cube

So, the volume of the cube is:

$V_1 = l^3$

$V_1 = 10^3$

$V_1 = 1000$

The volume of the cylinder is:

$V_2 = \pi r^2h$

The diameter (d) of the cylinder equals the length of the cube.

This means that:

$d = l$

$d = 10$

Divide by 2 to calculate the radius of the cylinder

$r = \frac{10}{2}$

$r = 5$

Also, the height of the cube is::

$h =l$

$h =10$

So, we have:

$V_2 = \pi r^2h$

$V_2 = \pi \times 5^2 \times 10$

$V_2 = \pi \times 25 \times 10$

$V_2 = \pi \times 250$

$V_2 = 785.4$

So, the volume (V) outside the cylinder is:

$V = V_1 - V_2$

$V = 1000 - 785.4$

$V = 214.6$

Hence, the volume outside the cylinder is 214.6 cubic inches

Read more about volumes at:

brainly.com/question/15861918

5 0

2 years ago

............please help

Novay_Z [31]

X-intercept: (3.5,0)
Y-intercept: (2.5,0)

6 0

2 years ago

Refer previous problem. Suppose that you wish to estimate the difference between the mean acidity for rainfalls at two different

aivan3 [116]

Answer:

Hence,we need at least 136 rainfall PH values in the sample i.e

n ≥ 136

Step-by-step explanation:

We are given that:

(σ1)^2 = (σ2)^2 = Population variance = 0.25

So, E < 0.1

Confidence coefficient (c) = 0.9

n = n1 = n2

For confidence level, 1 - α = 0.9,we'll determine Z (α /2) = Z 0.05 by looking up 0.005 using the normal probability table which i have attached.

So, Z (α /2) = 1.645

The margin of error E is given as;

E = Z (α /2)√[(σ1)^2)/n1] + [(σ2)^2)/n2]

= Z (α /2)√({(σ1)^2 + (σ2)^2}/n) < 0.1

Multiply both sides by √n to get;

Z (α /2)√(σ1)^2 + (σ2)^2} < 0.1√n

Divide both sides by 0.1;

{Z (α /2)√(σ1)^2 + (σ2)^2}}/0.1 <√n

When we square each side, we get

{Z (α /2)√(σ1)^2 + (σ2)^2}}/0.1} ^2 < n

We'll now fill in the known values and solve;

n > ( 1.645 x √{(0.25 + 0.25)/0.1}^2

n > 135.3 or approximately n > 136

Hence,we need at least 136 observations in the sample i.e

n ≥ 136

7 0

3 years ago

HELP ME AND PLEASE HURRY

Damm [24]

The answer is sometimes true

8 0

2 years ago

1. What is the marginal distribution of individuals who are underweight?

Katena32 [7]

Answer:

Step-by-step explanation:

You have to divide the TOTAL underweight which is 130, into the total of individuals which is 1000. 130/1000= 0.13 or 13.0%

Answer C.

I just took this quiz today

4 0

2 years ago

Read 2 more answers