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Pani-rosa [81]
3 years ago
12

A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condi

tion to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario.
Find the height of cylinder . Keep the answer in terms of π

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

100/π cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 10,000cm³

Radius = 10cm

The formula for the height of a cylinder is obtained as:

V = πr²h

h = V/ πr²

h = 10000 /π × 10²

h = 10000 /π × 100

h = 100/π cm

The height of the cylinder in terms of π = 100/π cm

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Please help. Given formula, just plug it in to find answer.
ahrayia [7]

Step-by-step explanation:

x = 2.5

(2.5 × 0.25 ) + 2= 0.625 +2

= 2.625

3 0
2 years ago
Compared to last year, the population of boom town has increased by 24%. The population is now 6,600. What was the population la
CaHeK987 [17]

Answer:

1,584

Step-by-step explanation:

6,600 multiplied by 24%(or 0.24) is 1,584

8 0
3 years ago
The temperature was recorded for four straight days.The temperatures was recorded for the first three days were -2°,10°,and 7°.W
lubasha [3.4K]

Answer:

-19^{\circ}

Step-by-step explanation:

Let x represent temperature on 4th day.

We have been given that the temperatures was recorded for the first three days were -2°,10°,and 7°.

The total temperature on f days would be -2^{\circ}+10^{\circ}+7^{\circ}+x.

We have been given that total temperature change was -4°. We can represent this information in an equation as:

-2^{\circ}+10^{\circ}+7^{\circ}+x=-4^{\circ}

15^{\circ}+x=-4^{\circ}

x=-4^{\circ}-15^{\circ}

x=-19^{\circ}

Therefore, the temperature on 4th day must be equal to -19^{\circ}.

7 0
3 years ago
A rectangular piece of stained glass has the dimensions shown in the diagram. What is the probability that a random leaf that la
weeeeeb [17]

Answer:

The correct option is D) \frac{2}{3}

Step-by-step explanation:

Consider the provided figure.  

We need to find the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid.

For this first find the total area as shown:

The given figure is a rectangle.

The area of rectangle is l\times b

Where, l = 6 cm + 3 cm = 9 cm and b = 5cm

Therefore the area of the rectangle is;

Area of rectangle = 9cm\times 5cm=45cm

Now find the area of trapezoid.

The area of trapezoid is: \frac{a+b}{2}h

Where h is the height and a and b are the parallel sides.

Area of trapezoid = \frac{9+3}{2}\times 5=30

Thus, the area of trapezoid is 30 cm.

Therefore, the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid is:

Probability=\frac{\text{Area of trapezoid}}{\text{Area of rectangle}}

Probability=\frac{30}{45}=\frac{2}{3}

Hence, the correct option is D) \frac{2}{3}

3 0
3 years ago
What is x to the power of 2 minus x?
Anna35 [415]

It is

x^{(2-x)}

or

x^2 - x

depending on what you meant. Natural languages lacks parenthesis.


7 0
3 years ago
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