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BlackZzzverrR [31]
3 years ago
12

Please show the steps taken to complete the problem

Mathematics
1 answer:
prisoha [69]3 years ago
8 0

Answer:

24501.42 cubic meters

Step-by-step explanation:

Volume of a cylinder

= pi r^2 h

Given diameter = 34

radius r = diameter/2

= 34/2 = 17

So radius r = 17

Height h = 27

Pi = 3.14

Volume = 3.14 x (17)^2 x 27

= 3.14 x 17 x17 x 27

Multiply through

= 24501.42 cubic meters

You might be interested in
The average age of staff in the maths department is 40.
pashok25 [27]

Answer:

Cerian is 28 years old

Step-by-step explanation:

The given parameters are;

The average age of the staffs in the mathematics department = 40

The number of staffs in the department = 7

The average age of Jill, Nicky and Wendy = 41

The average age of Andy, Alan and Cathy = 43

From the given parameters, we have;

The average age of the staffs in the mathematics department = (The sum total of the ages of the members of the math department)/(The number of staffs in the department)

Therefore;

40 = (The sum total of the ages of the members of the math department)/ (7)

From which we have;

The sum total of the ages of the members of the math department = 40 × 7 = 280

Which gives;

Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age = 280 years

The average age of Jill, Nicky and Wendy = 41

Given that Jill, Nicky, and Wendy make up 3 of the 7 members of staffs, we have;

The average age of Jill, Nicky and Wendy = (The sum total of the ages of Jill, Nicky, and Wendy)/(The number of staff Jill, Nicky, and Wendt make)

Therefore;

The sum total of the ages of Jill, Nicky, and Wendy = 41 × 3 = 123

Which gives;

Jill's age + Nicky's age + Wendy's age = 123 years

Similarly, the sum total of the ages of Andy, Alan, and Cathy = 43 × 3 = 129

Which gives;

Andy's age + Alan's age + Cathy's age = 129 years

Therefore;

Cerian's age = (Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age) - (Jill's age + Nicky's age + Wendy's age) + (Andy's age + Alan's age + Cathy's age)

∴ Cerian's age = 280 years - 123 years - 129 years = 28 years

6 0
3 years ago
I need help ASAP!!Please explain how to solve the problem
rjkz [21]

Answer:

( x - 2 )^2 + ( y - 1 )^2 = 1

Step-by-step explanation:

As i previously explained,

The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.

h and k are the co-ordinates of the center of circle and r is the radius

Here, We have (2,1) as the co-ordinates of the center of circle

Now,

( x - h )^2 + ( y - k )^2 = r^2

or,( x - 2 )^2 + ( y - 1 )^2 = r^2

The radius of the circle is 1 units(from figure)

So, put that in, we get

( x - 2 )^2 + ( y - 1 )^2 = 1^2

or, ( x - 2 )^2 + ( y - 1 )^2 = 1

You can simplify this or leave it here.

8 0
2 years ago
Expand and simplify 2(a + 3) + 3(2a - 1)
Svetlanka [38]
2(a+3) + 3(2a-1)
First, let's use the distributive property to expand 2(a+3):
2(a+3) = 2*a + 2*3 = 2a + 6
Let's use the distributive property now to expand 3(2a-1):
3(2a - 1) = 3*2a - 3*1 = 6a - 3

So 2(a+3) + 3(2a-1) = 2a + 6 + 6a - 3
Now you calculate variables between each others, and numbers between each others:
2a + 6 + 6a - 3 = 2a + 6a + 6 - 3 = 8a + 3

So the simplified form of 2(a+3) + 3(2a-1) is 8a + 3.

Hope this Helps! :)
4 0
3 years ago
If 6 less than one third of Christine age is no more than 18 , how old is she . And how did u get the answer
SCORPION-xisa [38]

Answer: >72

Step-by-step explanation:

x*1/3-6=<18

1/3*x=<24

x=<72

Christine is more than 72 years old

5 0
3 years ago
The ratio of cats and dogs is 4:5. If there are 20dogs how many cats are there
Fiesta28 [93]
16
Because...
4 cats/ 5dogs = x cats/ 20 dogs
Therefore you can conclude it is 16 cats in total
8 0
3 years ago
Read 2 more answers
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