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Ganezh [65]
3 years ago
6

The height of a cylinder is 10 and the area of a base is 36π square units. What is the volume in cubic units?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

1131 cubic units

Step-by-step explanation:

The height of a cylinder is 10 and the area of a base is 36π square units. What is the volume in cubic units?

Volume of a cylinder = πr²h

Height = 10 units

Area of the base of a cylinder = πr² = 36π =

Hence:

Volume of the cylinder = 36π × 10

= 1130.9733553 cubic units

= Approximately = 1131 cubic units

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Y_Kistochka [10]

Answer:

$29500

Step-by-step explanation:

Given data

The number of months is 60

the downpayment is $5,500

the monthly payment is $400

Let the function for the total payment be given as

y=mx+c

y= 400(60)+5500

y=24000+5500

y= 29500

Hence the total paid for the car is $29500

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3 years ago
I need a lot of help, I’m really confused on what we are learning currently.
Virty [35]

7m+2=7n−5

Swap sides so that all variable terms are on the left hand side.

7n−5=7m+2

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7n=7m+2+5

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3 years ago
4. A local restaurant employs 80 full time employees. Approximately 4/5 of the full-time employees are
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part-time work as a percentage of total part-time work, selected Latin American countries, 2003–13 .

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3 0
2 years ago
2.26-30 3x+y=6<br>(0,_)<br>(_,0)<br>(3,_)<br>(6,_)<br>(5,_) ​​
bekas [8.4K]

Answer:

Step-by-step explanation:

In ordered pairs (a,b) a is the x value and b is a y value.

if we have 3x+y=6

if x=0, y=6 --> (0,6)

if y=0, x=2 -->(2,0)

if x=3, y=-3--> (3, -3)

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7 0
2 years ago
Mr. Smith traveled to a city 300 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 6
Kryger [21]

Answer: The speed at which he traveled to the city is 69.8 mph

Step-by-step explanation:

Let x represent the speed at which he traveled to the city.

Mr. Smith traveled to a city 300 miles from his home to attend a meeting.

Time = distance/speed

Time taken to travel to the city is

300/x

Due to car trouble, his average speed on returning was 6 mph less than his speed going. This means that the speed at which he returned is (x - 6) mph. Time taken to return from the city is

300/(x - 6)

If the total time for the round trip was 9 hours, it means that

300/x + 300/(x - 6) = 9

Cross multiplying by x(x - 6), it becomes

300(x - 6) + 300x = 9x(x - 6)

300x - 1800 + 300x = 9x² - 54x

9x² - 54x - 300x - 300x - 1800 = 0

9x² - 654x -1800 = 0

Applying the general quadratic equation,

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 9

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x = [- - 654 ± √(- 654² - 4 × 9 × 1800)]/2 × 9

x = [654 ± √(427716 - 64800)]/18

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x = 1256.4/18 or x = 51.6/18

x = 69.8mph or x = 2.9 mph

The speed at which he traveled to the city is 69.8 mph

By checking,

Time spent travelling to the city = 300/69.8 = 4.3 hours

Time spent returning =

300/(69.8 - 6) = 4.7 hours

4.3 + 4.7 = 9 hours

3 0
3 years ago
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