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3 years ago

A right cylinder has a radius of 2 units and a height of 5 units. What is the volume of the cylinder? Round to the nearest 10th.

Mathematics

2 answers:

disa [49]3 years ago

4 0

Answer: 62.8

Step-by-step explanation:

i took the test

NeTakaya3 years ago

3 0

Answer:

62.8 units

Step-by-step explanation:

The formula for a cylinder πr²h. R being the radius and h being the height.

Therefore, plug in the numbers and solve.

π(2)²(5) = 20π = 62.8 units

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What is the area of the logo?

Ludmilka [50]

Answer:

$the \: area \: of \: the \: logo \: is \: {91cm}^{2}$

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

$a = {a}^{2}$

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

$asquare = {7}^{2} \\ asquare = {49cm}^{2}$

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

$a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2}$

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

$atriangles = 3a \\ atriangles = {42cm}^{2}$

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

$alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2}$

4 0

2 years ago

Read 2 more answers

Of 30 students 1/3 play sports. Of those who play sports 2/3 play soccer. How may students play soccer?

Orlov [11]

Answer:

Step-by-step explanation:

1/3 of 30 students play sport

30×1/3

= 10

2/5 of this number plays soccer

10×2/5

= 20/5

= 4

5 0

2 years ago

A tech company bought a number of computers for its employees: 66 costing \$1600$1600 each, 44 costing \$1200$1200 each, and yy

daser333 [38]

Answer:

Step-by-step explanation:

A tech company bought a number of computers for its employees: 6 costing $1600 each, 4 costing $1200 each, and y costing $900 each, where y is a positive odd integer. what is the greatest possible value of y

Solution:

The median of a group of numbers is the middle number when the group of numbers have been arranged either in ascending of descending other. The median of an even group of numbers is the average of the two most middle most numbers while the median of an odd group of numbers is the middle number.

Since there are 6 computers costing $1600, 4 computers costing $1200 each and y computers costing $900 each. Since y is odd, hence y + 6 + 4 would be odd and the median would be the middle number.

Given that the median price = $1200, this means that the middle of the group of numbers is $1200

900, 900, ..., 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

Since y is odd, for the median price to be $1200, y has to be 3 or 5.

If y = 3:

900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

median = $1200

If y = 5:

900, 900, 900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600

Median = $1200

Therefore the greatest possible value of y is 5

5 0

3 years ago

Does 21, 10, and 9 be the measures of the sides of a triangle

musickatia [10]

Answer:

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

9+10 > 21

19 >21

This is not true so it cannot make a triangle

8 0

2 years ago

Jim’s allowance is $1.20 per week. Stan’s is 25¢ per day. How long will they have to

algol [13]

First, find out how much stan gets per week.

.25 x 7 =1.75

now how much they get together

1.75 + 1.20 = 2.95

and then the final step

23.60 / 2.95 = 8

it'll take 8 weeks for them to buy the model car set

7 0

2 years ago