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zheka24 [161]
3 years ago
15

What is the volume of a cylinder with a radius of 5 cm and height of 10 cm? In terms of pi.

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

Volume of the cylinder=250π cm³

Step-by-step explanation:

The formula for calculating the volume of the cylinder is;

V=πr²h

where;

V=volume of the cylinder

π=pi

r=radius of the cylinder

h=height of the cylinder

In our case;

V=unknown

π

r=5 cm

h=10 cm

replacing;

V=π×5²×10=250π cm³

Volume of the cylinder=250π cm³

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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill
abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

4 0
3 years ago
. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?
evablogger [386]

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

8y = 52

y = 52/8

y = 6.5 units

6 0
2 years ago
Read 2 more answers
If m<BEG = (19x + 3)° and m<EGC = (m<GCB + 4x)°, which of the following statements is true about quadrilateral BEGC? Se
viktelen [127]

Answer:

The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only

Step-by-step explanation:

* Lets revise some facts about the quadrilateral

- Quadrilateral is a polygon of 4 sides

- The sum of measures of the interior angles of any quadrilateral is 360°

- The sum of measures of the exterior angles of any quadrilateral is 360°

* Lets solve the problem

- DEGC is a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The sum of the measures of its interior angles is 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The sum of measures of the exterior angles of any quadrilateral is 360°

∴ The statement in answer F is only true

3 0
3 years ago
Help pls pls pls<br><br> 4 x 10<br> plssss plz plz plzz so hard
mrs_skeptik [129]

Answer:

40

Step-by-step explanation:

4 x 10= 40

PlZ add brainliest.

8 0
3 years ago
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Find the area of a triangle with a base length of 3 units and a height of 4 units.
svetlana [45]

Answer:

6 square units

Step-by-step explanation:

The area of a triangle can be calculated by multiplying the triangle's base by its height, and then dividing the result by 2. As an algebraic expression, this would be \frac{bh}{2}, where b is the triangle's base and h is the triangle's height. In this case, we know that b=3 and h=4. Therefore, the area of this triangle is \frac{3*4}{2} =\frac{12}{2} =6 square units. Hope this helps!

6 0
2 years ago
Read 2 more answers
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