All categories

3 years ago

What is the formula to find the volume of the solid ?

Mathematics

1 answer:

MakcuM [25]3 years ago

5 0

Answer:

Step-by-step explanation:

Volume = 4πr³/3

Solid shape is a sphere. r ----> radius

You might be interested in

Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles

ivanzaharov [21]

Triangles with height $h$ and base $b$ , with $b=h$ have area $\dfrac{b^2}2$ .

Such cross sections with the base of the triangle in the disk $x^2+y^2\le25$ (a disk with radius 5) have base with length

$b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}$

i.e. the vertical (in the $x,y$ plane) distance between the top and bottom curves describing the circle $x^2+y^2=25$ .

So when $x=4$ , the cross section at that point has base

$2\sqrt{25-16}=6$

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

$\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3$

6 0

3 years ago

20 is 60% of what number

Oxana [17]

33.33? im not sure, but you do a/b=p/100. p is the percent, a is the part of the whole number, b. so the equation would be 20/b=60/100. then you do cross multiplication (60b=2000) then you divide.

3 0

3 years ago

Before leaving a particular restaurant, patrons are asked to respond to a questionaire containing the questions given below. For

patriot [66]

Answer:

1. Nominal Scale; 2. Ordinal Scale; 3. Ordinal Scale; 4. Nominal Scale.

Step-by-step explanation:

The variable in Question 1 (Q1) could be described as The attributes of the restaurant, with possible values: service, prices, quality of food, menu options (four values).

The variable in Question 4 (Q4) could be mentioned as Eaten before in the restaurant, with possible values: yes or not (two values).

These values are, in fact, simply names, and although they can be represented using numbers, they have no numerical meaning at all.

For instance, the values in Q1 can be labeled by 0 (service), 1 (prices), 2 (quality of food), 3 (menu options) and 0 (not) or 1 (yes), in Q4; for purposes of data analysis, 3 (menu options) is a label and does not mean a higher score than 1 or 0. These numbers are labels rather than meaningful numbers, and this is a characteristic of the Nominal Scale of measurement. Then, the possible response for questions Q1 and Q4 is the Nominal Scale.

The variable in Q2 is the Rating of the restaurant, with possible values: excellent, good, fair, poor.

The variable in Q3 is Prices, with possible values: high, average, low.

As can be seen, any possible value in either question, like excellent or high, has a greater value than fair or low, respectively. In other words, they have different values concerning others, but we do not the distance among them. High is greater than Average, and the latter is greater than the Poor value, but we do not know what distance separates one value from the other, and this is a characteristic of the Ordinal Scale of measurement. Thus, the possible response for questions Q2 and Q3 is the Ordinal Scale.

8 0

3 years ago

What is the greatest common factor of 4, 37, and 51

klio [65]

there and no common prime factors the GCF is 1 :)

4 0

3 years ago

A fruit stand has 28 apples, 20 oranges, and 12 pears. What is the ratio of apples to the total pieces of fruit?

ruslelena [56]

Data:
Apples = 28
Oranges = 20
Pears = 12

What is the ratio of apples to the total pieces of fruit?
Solving:
 $\frac{apples}{apples+oranges+pears} = \frac{28}{28+20+12} = \frac{28}{60} \frac{\div4}{\div4} \to\:\boxed{\boxed{ratio = \frac{7}{15}}}\end{array}}\qquad\quad\checkmark$

5 0

3 years ago