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2 years ago

A cylindrical soup can has a radius of 1.2 in. and is 6 in. tall. What's the volume?

Mathematics

1 answer:

Sergio [31]2 years ago

7 0

Answer:

Volume= 27. 12inches³

Step-by-step explanation:

to solve this question lets write out the parameters given

radius of the cylinder = 1.2 inches

height of the cylinder = 6 inches

volume of the cylinder = ?

<u>solution</u>

the fomular to find the volume of a cylinder is given to be

Volume= πr²h

Volume= 3.14 × ( 1.2)² × 6

Volume= 3.14 × 1.44 × 6

Volume= 27. 12inches³

therefore the volume of the cylinder equals to 27. 12inches³

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A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit

Hitman42 [59]

To find the area of the circle, you will use the formula for finding area of any circle.

The radius is half the diameter.

A = pi x r^2
3.14 x 13^2
A = 530.66 square units

The area is 530.66 square units.

3 0

3 years ago

Read 2 more answers

3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger & 2 times the sma

swat32

Answer:

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both: $x+x+2$

difference of 3 times the larger & 2 times the smaller: $3(x+2)-2x$

Putting the sum and difference equal:

$x+x+2 = 3(x+2)-2x$

Solving the equation

$2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4$

The next integer will be:

$x+2 = 4+2 = 6$

Hence,

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6.

3 0

3 years ago

Consider an urn containing 8 white balls, 7 red balls and 5 black balls.

weqwewe [10]

Answer + Step-by-step explanation:

1) The probability of getting 2 white balls is equal to:

$=\frac{8}{20} \times \frac{7}{19}\\\\= 0.147368421053$

2) the probability of getting 2 white balls is equal to:

$=C^{2}_{5}\times (\frac{8}{20} \times \frac{7}{19}) \times (\frac{12}{18} \times \frac{11}{17} \times \frac{10}{16})\\=0.397316821465$

3) The probability of getting at least 72 white balls is:

$=C^{72}_{150}\times \left( \frac{8}{20} \right)^{72} \times \left( \frac{7}{20} \right)^{78} +C^{73}_{150}\times \left( \frac{8}{20} \right)^{73} \times \left( \frac{7}{20} \right)^{77} + \cdots +C^{149}_{150}\times \left( \frac{8}{20} \right)^{149} \times \left( \frac{7}{20} \right)^{1} +\left( \frac{8}{20} \right)^{150}$

$=\sum^{150}_{k=72} [C^{k}_{150}\times \left( \frac{8}{15} \right)^{k} \times \left( \frac{7}{15} \right)^{150-k}]$

5 0

11 months ago

Read 2 more answers

Parallelogram ABCD has the coordinates shown. A(-3,2) B(0,4) C(3,4) Find the coordinates of point D.

dimaraw [331]

Hey! Good Morning! (if its morning for you) Easy way to figure these things out is to just graph them an take a look. Since we know this is a parallelogram, we can use the basic rules of them to know for sure where that one last point is. (Or we can use the first way, your choice) So just by graphing those points and looking at the incomplete stricter it created,

We can know the last point lies at (0, 2) (I put this spaced so you don't have to read my entire message lol) Hope this helps and good luck!

6 0

3 years ago

Simplify the expression. 2a^-5 m^5

Komok [63]

2a^-5= 1/2a^5
x= m^5/2a^5

4 0

3 years ago