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3 years ago

What is the volume of the cylinder?

Mathematics

2 answers:

forsale [732]3 years ago

7 0

I think it 25 not sure

kvv77 [185]3 years ago

6 0

For this case you can use the following equation:
d = (2 2/5) h
Rewriting:
d = (2.4) h
Then, we have that the height is:
h = 22 1/4
Rewriting:
h = 22.25
Finally the diameter is:
d = (2.4) (22.25)
d = 53.4 feet
The volume of the cylinder is:
V = pi * ((d / 2) ^ 2) * (h)
V = (3.14) * ((53.4 / 2) ^ 2) * (22.25)
V = 49806.05985 feet ^ 3
Nearest hundreth:
V = 49806.06 feet ^ 3
Answer:
The volume of the cylinder is:
V = 49806.06 feet ^ 3

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3 years ago

Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (

Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138 (1)

The second equation in the unknowns is

3B + 5N = 71 (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===> 40B + 30N = 690 (3)

Multiplying (2) by 6 ===> 18B + 30N = 426 (4)

(3) - (4) eliminates the N variables and yields

22B = 264 ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==> 36 + 5N = 71 ==> 5N = 71-36 = 35 ==> N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

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2 years ago

6. Examine the prism shown below.

bulgar [2K]

It may be can be number 1 (a)

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3 years ago

Factor completely. x2−5x−36 Enter your answer in the box.

Kamila [148]

Answer:

(x - 9)(x + 4)

Step-by-step explanation:

x^2−5x−36

As you know, -36 = -9 * 4 and (-9) + 4 = -5

so Factor

= (x - 9)(x + 4)

4 0

3 years ago

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I need to solve for x, help please.

BaLLatris [955]

Answer:

x = 52 i hope this helps! :)

Step-by-step explanation:

so first you gotta realize that every triangle has an interior angle measurement sum of 180 degrees

so we are given 3 angles 74 degrees x + 2 and x

we now are going to put this into an equation 74 + x + 2 + x = 180

now lets combine like terms to get 76 + 2x = 180

then we are going to subtract the 76 from both sides 2x = 104

now lets divide both sides by 2 x = 52

so x = 52

we can plug in the value of x into both of the other equations to find the angle measurement

52 degrees

52 + 2 = 54 degrees

and then we have 74 degrees

add the 52, 54, and the 74 to make sure it is equal to 180 degrees

106 + 74 = 180

so yes, x does indeed equal 52 degrees

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3 years ago

Read 2 more answers