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schepotkina [342]

2 years ago

10

What is the volume of the cone in terms of π ?

1 answer:

Scilla [17]2 years ago

6 0

$v = \frac{1}{3} \times \pi \times {r}^{2} \times height \\$

$v = \frac{1}{3} \times \pi \times {2}^{2} \times 6 \\$

$v = \frac{24}{3} \pi \\$

$v = 8\pi \: \: \: {in}^{3}$

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The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use

k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$

<h3>Area of each circular section:</h3>

From the figure, we know that $\alpha =2.21 radians$ and the radius is $R=30ft$ . So, the are would be calculated with this formula:

$A_{cs}=\frac{\pi R^{2}\alpha}{360\°}$

Replacing all values:

$A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}$

Remember that $360\°=6.28radians$

Therefore, $A_{cs}=994.5ft^{2}$

Now, the total are of the figure is:

$A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}$

Therefore the area of the symmetrical pool is $2489ft^{2}$

3 0

3 years ago

Whats the area of the real Bedroom?

Gemiola [76]

Answer:

The answer is 18 cm.

Step-by-step explanation:

Just multiply 6 by 3.

3 0

3 years ago

What number corresponds to 1

Serga [27]

Urmomdadsisbrouncleauntmybutt

5 0

3 years ago

jillian calculates that see will take 95 minutes to run 7 miles. she runs the distance in 80 minutes. what is jillians percent e

Aneli [31]

Answer:

15.79%

Step-by-step explanation:

do 95-80 which is 15

then do 15/95 as a fraction then multiply that number by 100 to get 15 15/19 then turn that into a decimal and you get 15.79%

6 0

4 years ago

Algebraic models grade 12 math college please write the answers without explaining thank you.

Zinaida [17]

From the problem :

$6^4\times6^{-5}$

In multiplying expressions with the same bases, the exponent will be added accordingly.

For example :

$a^m\times a^n=a^{m+n}$

the exponent of a are m and n, and the product will be a raised to the sum of m and n.

Applying this to the problem, we have :

$6^4\times6^{-5}=6^{4-5}=6^{-1}$

The answer is d. 6^-1

6 0

1 year ago