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9966 [12]
3 years ago
11

Diameter of 6x and height of 2x+5 what is the volume of the cylinder

Mathematics
2 answers:
ki77a [65]3 years ago
4 0

Answer:

(18x^3 + 45x^2)π unit^3.

Step-by-step explanation:

The radius of the base = 1/2 * 6x = 3x.

The volume = π r^2 h

= π * (3x)^2 * (2x + 5)

= 9x^2(2x + 5) π

= (18x^3 + 45x^2)π.

ikadub [295]3 years ago
3 0

Answer:

V = pi*x^2*(18x - 45)

Step-by-step explanation:

If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.

Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:

V = pi*(3x)^2*(2x - 5), or    V = pi*(9x^2)(2x -5), or:

V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)

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Find the sum of the even integers from 20 to 50.<br><br><br>with solutions please help​
alina1380 [7]

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

7 0
3 years ago
Heres the picture, thank you!
Arte-miy333 [17]
Leg * /2 = hypotenuse
Hypotenuse divided by /2 = leg

12 divided by /2

Rationalize denominator:
12 * /2 divided by by /2 * /2

Simplify denominator:
12 * /2 divided by 2

Simplify:
6 * /2 or 4.24

Both x and y because it’s a 45-45-90 triangle
7 0
3 years ago
Read 2 more answers
What is the value of
vitfil [10]

Answer:

Can you please write a logical question

4 0
3 years ago
At a 3​-mile ​cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the​ athlete's average​ speed?
Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

I hope this helped, if it did could you give me a good rating? lol

8 0
3 years ago
the depth D, in inches, od wsnow in my yard t hours after it started snowing this morning is given by D=1.5t + 4. if the depth o
Blababa [14]

Answer:

8.5 inches

Step-by-step explanation:

First let's find the time t when the depth of the snow is 7 inches.

To do this, we just need to use the value of D = 7 then find the value of t:

7 = 1.5t + 4

1.5t = 3

t = 2\ hours

We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:

D = 1.5*3 + 4

D = 4.5 + 4 = 8.5\ inches

The depth of snow one hour from now will be 8.5 inches.

7 0
3 years ago
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