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3 years ago

Please answer this correctly without making mistakes

Mathematics

2 answers:

Crazy boy [7]3 years ago

7 0

Since the radius for either the quarter or the whole circle is the same the radius of the circle shall be divided into 4 parts
Please refer to the photograph to know more about the answer

d1i1m1o1n [39]3 years ago

7 0

Area = 0.785

Area=0.79

I hope it helps

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The volume of a right circular cone with radius r and height h is V = pir^2h/3.

Scorpion4ik [409]

The question is incomplete. The complete question is :

The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.

b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.

a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)

b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)

Solution :

Given :

The volume of the right circular cone with a radius r and height h is

$V=\frac{1}{3} \pi r^2 h$

$dV = d\left(\frac{1}{3} \pi r^2 h\right)$

$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$

$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$

a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96

So, r = 5.9 and dr = 6.8 - 5.9 = 0.9

h = 4 and dh = 3.96 - 4 = -0.04

Now, $dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$

$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$

$dV=44.484951 - 1.458117$

$dV=43.03$

Therefore, the approximate change in volume is dV = 43.03 cubic units.

b). The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92

So, r = 6.47 and dr = 6.45 - 6.47 = -0.02

h = 10 and dh = 9.92 - 10 = -0.08

Now, $dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$

$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$

$dV=-2.710147-3.506930$

$dV= -6.22$

Hence, the approximate change in volume is dV = -6.22 cubic units

8 0

2 years ago

Creat an expression without parentheses that is equivalent to 4(6x+x)

Dimas [21]

You could distribute this expression to get and even MORE simplified expression. Add the two terms in the parentheses together so that you get 4(7x). Now you can simply multiply 4 by 7x which would equal 28x. The new expression is 28x.

5 0

3 years ago

Read 2 more answers

Alan solved the proportion StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction as shown. StartFraction x

bulgar [2K]

Answer:

Step-by-step explanation:

The proportion that Alan solved was

x/200 = 8/25

His working as shown was

(8)(x) = (25) (200)

8x = 5000

He divided both sides of the equation by 8. It became

8x/8 = 5000/8

x = 625

The correct steps are

25x = 200 × 8 = 1600

Dividing both sides of the equation by 25, it becomes

x = 1600/25

x = 64

Alan's error were:

1) He got the wrong product when he multiplied 25 by 200.

2)He got the wrong quotient when he divided 5,000 by 8.

7 0

3 years ago

Read 2 more answers

Need some help please!<br>I don't know how to do this.

meriva

Check the picture below.

bearing in mind that twin sides stemming from a common vertex, will make twin angles at the base, thus 74° has a twin.

5 0

3 years ago

How do I do this step by step?<br><br> 3(y-2) +5y = y+22

tatiyna

Answer:

3(Y-2) +5Y =Y+22

3Y-6 +5Y=Y+22

3Y -6 +5Y-Y-22=0

3Y+5Y-Y-6-22=0

7Y-28=0

7Y=28

Y=28/7

Y=4

Step-by-step explanation:

7 0

3 years ago