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3 years ago

What is the approximate volume of a cone with a height of 8 cm and a radius of 12 cm? Use 3.14 for pie.

Mathematics

1 answer:

lawyer [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The volume of the cone is found using the volume formula for a cone $V=\frac{1}{3}\pi r^2h$ .

Substitute h=8 and r = 12.

$V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi (12^2)(8)\\V=\frac{1}{3}\pi *144*8\\V = \frac{1152}{3}\pi \\V= 384\pi \\V=1,205.76$

So the volume is approximately 1,206 cubic cm.

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A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t

AlladinOne [14]

Answer:

The length of fencing will be $300\ ft$

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

$A=bh$

In this problem we have

$A=5,000\ ft^{2}$

$5,000=bh$ -----> equation A

$b=\frac{h}{2}$ -----> equation B

Substitute equation B in equation A

$5,000=(\frac{h}{2})h$

$10,000=h^{2}$

square root both sides

$h=100\ ft$

Find the value of b

$b=\frac{h}{2}$ -----> $b=\frac{100}{2}=50\ ft$

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

$P=2(b+h)$

we have

$h=100\ ft$

$b=50\ ft$

substitute

$P=2(50+100)=300\ ft$

6 0

3 years ago

Right answer please

GaryK [48]

Answer: 7.012 x 10−8 ==> Option 3

Step-by-step explanation:

(3.012 x 10−8) + (4 x 10−8)=

(3.012+4) x 10−8=

(3.012+4.000) x 10−8=7.012 x 10−8 ==> Option 3

8 0

1 year ago

Please very soon I offer the crown !!! + 10 points urgently !!!

krek1111 [17]

Answer:

For 90:

9 10p coins

7 10p coins and 1 20p coin

5 10p coins and 2 20 p coins

3 10p coins and 3 20p coins

For 60:

6 10p coins

4 10p coins and 1 20p coin

2 10p coins and 2 20p coins

3 20p coins

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−23x+5

elena-s [515]

Answer:

$y-1=\frac{1}{23} (x-8)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.

Point slope: $y-y_1=m(x-x_1)$

$m\neq -23$ in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=\frac{1}{23}$ .