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Anuta_ua [19.1K]
3 years ago
8

an oil tank, which is a shape of a cylinder, is 3m high and has a diameter of 6m. the oil tank is two-thirds full. find the numb

er of cubic meters of oil in the tank. use 3.14 for pi
Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

Step-by-step explanation:

The key is to find out the entire volume the tank can hold when it is full, then take 2/3 of that amount. The volume of a cylinder is

V=\pi r^2h and filling in:

V=3.14(3)^2(3) (if the diameter is 6 m, the radius is 3) so

V = 84.78 m³ when it is full all the way. If we need the amount that makes up 2/3 of that:

\frac{2}{3}(84.78)=56.52m^3

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A driveway measures 2 miles. What does the driveway measure in feet?
ehidna [41]

Answer:

10560 feet

Step-by-step explanation:

multiply the length value by 5280

3 0
3 years ago
Please help ASAP THIS IS MY FINAL QUESTION!!!! 20 points!!!!
givi [52]

Answer:

y= 1/2x-3

Step-by-step explanation:

2y - x = 8

First find the slope

2y = x+8

Divide by 2

2y/2 = x/2 +8/2

y = 1/2 x +4

The slope is 1/2  ( y=mx+b where m is the slope and b is the y intercept)

When lines are parallel they have the same slope)

Using y = mx+b

y =1/2x+b

Substituting the point (4,-1) into the equation

-1 =1/2(4)+b

-1 = 2+b

-3 =b

The equation of the line is

y= 1/2x-3

4 0
2 years ago
Find the length of the following​ two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16
andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)}     dt

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)}     dt

Doing the operations inside of the brackets the derivatives are:

1 ) (\frac{d((1/2)t^2)}{dt} )^2= t^2

2) \frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1

Entering these values of the integral is

r(t)= \int\limits^{16}_{0}  \sqrt{t^2 +2t+1}     dt

It is possible to factorize the quadratic function and the integral can reduced as,

r(t)= \int\limits^{16}_{0} (t+1)  dt= \frac{t^2}{2} + t

Thus, evaluate from 0 to 16

\frac{16^2}{2} + 16

The value is r= 144 units

5 0
3 years ago
Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form
BigorU [14]
Slope = (10 -5)/(2+3) = 5/5=1

y = mx + b
5 = 1(-3) + b
b =8

so equation y = x +8

answer: <span>y = x + 8(first choice)</span>
8 0
3 years ago
Read 2 more answers
ANOTHER QUESTION:
iris [78.8K]
If there are 3 red blocks for every 5 blocks
if we multiple both numbers by 12 to make every 60 blocks we get:
36 red blocks every 60 blocks
since you have 36 and you only need 32 then yes you will have enough
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2 years ago
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