A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the cylinder when the radius of the base increases to 5.05

Answers

Answer 1

Answer:

19.72 cm²

Step-by-step explanation:

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.

The volume of cylinder is given by :

[tex]V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2[/tex]

When r = 5.05, new volum becomes,

[tex]V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2[/tex]

Increase in area = 1000.97 - 981.25 = 19.72 cm²

So, the increase in surface area of the cylinder is equal to 19.72 cm².


Related Questions

Bob went on 8 hikes.
The hikes were: 2 miles, 5 miles, 1 miles, 5 miles, 1 miles, 2 miles, 3 miles, 4 miles
What was the range of the lengths of Bob's hikes?
2 miles
3 miles
4 miles
5 miles

Answers

The range is the difference between the longest hike and the shortest hike.

Longest = 5

Shortest = 1

Range = 5-1 = 4 miles

x^2 + 6x + 5 = 0 by completing the square. What are the solutions?

Answers

Answer: (X+1)(X+5)

I factored it out.

What is the area of the parallelogram?

21 cm

15 cm

20 cm

O 82 cm

300 cm?

O 315 cm?

O 420cm

Answers

Complete Question

What is the area of the parallelogram?

Slant Height = 21 cm

Height = 15 cm

Base = 20 cm

Answer:

300cm²

Step-by-step explanation:

The formula for the area of the parallelogram = Base × Height

Base = 20cm

Height = 15cm

Area = Base × Height

= 20cm × 15cm

= 300 cm²

Therefore, the area of the parallelogram is 300 cm²

Answer:B!300 cm!

Step-by-step explanation:hope this helps!!happy Friday!

Find the exact values of csc and sec

Answers

Answer:

cosec theta = 5/4

sec theta = 5/3

Step-by-step explanation:

Given that;

cot θ = 3/4

1/tanθ = 3/4

tanθ = 4/3

since tanθ = opp/adj

opp = 4

adj = 3

hyp^2 = 4^2 + 3^2

hyp^2 = 16+9

hyp^2 = 25

hyp = √25

hyp = 5

sin theta= opp/hyp

sin theta = 4/5

cosec theta = 1/sin theta

cosec theta = 1/(4/5)

cosec theta = 5/4

Get sec theta;

sec theta = 1/costheta

sec theta = 1/(3/5)

sec theta = 5/3

help me please i cant get it

Answers

Answer:

Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.

The total cost of both games is:

X + Y

We know that both games cost just above AED 80

Then:

X + Y > AED 80

From this, we want to prove that at least one of the games costed more than AED 40.

Now let's play with the possible prices of X, there are two possible cases:

X is larger than AED 40

X is equal to or smaller than AED 40.

If X is more than AED 40, then we have a game that costed more than AED 40.

If X is less than or equal to AED 40, then:

X ≥ AED 40

Now let's take the maximum value of X in this scenario, this is:

X = AED 40

Replacing this in the first inequality, we get:

X + Y > AED 80

Replacing the value of X we get:

AED 40 + Y  > AED 80

Y > AED 80 - AED 40

Y > AED 40

So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.

So we proven that in all the possible cases, at least one of the two games costs more than AED 40.

Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+7 4(x + 7) = 38​

Answers

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87

If right you’ll get brainliest

Answers

The temperature increased by 10°F.

Step-by-step explanation:

To solve this question, solve this equation:

[tex]-6+X=4[/tex]

Flip the equation so it is easier to solve:

[tex]4-(-6)=X[/tex]

Two negatives = A positive so:

[tex]4+6=X[/tex]

Then, add to solve the equation:

[tex]10=X[/tex]

The temperature increased by 10.

Pls help I will give branlist answer on the best one


Don’t explain it just strait up give me the answer for 1,2 and 3

Answers

Answer:

Plz explain how to do this. Do I put numbers or what?

Step-by-step explanation:

When you tell me, I'll answer! <3

What decimal is equivalent to the fraction 12/15?

A. 0.07
B. 0.08
C. 0.7
D. 0.8

Answers

Your answer is going to be D. 0.8 you can simply divide 12 over 15
Answer: 0.8

Divide numerator (12) by denominator (15) which will get you to 0.8.

Write x^3- 7x + 7x^5 - 19 + x^2
in standard form.
A. -19 + 7x5 - 7x + x3 + x2
B. x3 – 7x + 7x5 – 19 + x2
0
C. 7x5 + x3 + x2 - 7x - 19
O D. -19 - 7x + x2 + x + 7x5

Answers

Answer:

C

Step-by-step explanation:

A polynomial in standard form is first term, variable with largest exponent  followed by decreasing exponents to the last term, the constant

Given

x³ - 7x + 7[tex]x^{5}[/tex] - 19 + x² ← rearrange terms

= 7[tex]x^{5}[/tex] + x³ + x² - 7x - 19 ← in standard form → C

the average length of a doves egg is 7 1/2 inches. the average length of a ravens egg is 6/10 inches. about how many more inches is the doves egg to the ravens

Answers

Answer:

7 1/10 inch

Step-by-step explanation:

Can someone plz help me with this one problem pls I really need to get to and 85 !!

Answers

Answer:

I think it’s  28.3

Step-by-step explanation:

Sorry If I’m wrong

Answer:

im guessing somwere around 27

Which equation has the same solution as x2 + 16x – 11 = 4?

Answers

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4    Subtract 4 from both sides:

x^2 + 16x - 15 = 0  is one equation with  the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.


Quadrilateral A’B’C’D’ is a dilation of ABCD about point F.

Please Help. Urgent


What is the scale factor?

A. 0.4
B. 1.5
C. 2.5
D. 5

Answers

The answer to the equation is 2.5

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 50 pizzas in all, 10% of which were mushroom pizzas. How many mushroom pizzas did the cafeteria make?

Answers

Answer:

5 mushroom pizzas

Step-by-step explanation:

Find how many mushroom pizzas they made by finding 10% of 50:

50(0.1)

= 5

So, the cafeteria made 5 mushroom pizzas

Answer:

50×10/100= 5

The cafeteria made 5 mushroom pizza

Find the distance between points.

Answers

Answer:

10

Step-by-step explanation:

Answer:

the answers is 10:))))))

sfewrthewbtwebrhwebrthbweytbewhibthewghuelbtrueruhewbthujbrultbhrt

Answers

This fjzbwndjsjenskfkfnf I’m dababy

Please help me with this ASAP

Answers

l2=r2+h2
L=32.7

Surface areA= SA = πr2 + πrl
= 1866.24

Please help me please I really need help please

Answers

Answer:

See attached

Step-by-step explanation:

Solution is in the attached picture

Write two numbers that multiply to the value on top and add to the value on bottom. -60−60 -4−4 \times× ++

Answers

Answer:

The two numbers are 6 and -10

Step-by-step explanation:

Given

[tex]Product = -60[/tex]

[tex]Sum =-4[/tex]

Required

Two numbers that satisfy the above

Let the two numbers be x and y.

So:

[tex]x * y = -60[/tex]

[tex]x + y = -4[/tex]

Make x the subject

[tex]x = -4 - y[/tex]

Substitute [tex]x = -4 - y[/tex] in [tex]x * y = -60[/tex]

[tex](-4 -y) * y = -60[/tex]

Open bracket

[tex]-4y -y^2 = -60[/tex]

Rewrite as:

[tex]y^2 + 4y - 60 = 0[/tex]

Split

[tex]y^2 + 10y - 6y - 60 = 0[/tex]

Factorize

[tex]y(y + 10) - 6(y + 10) = 0[/tex]

Factor out y + 10

[tex](y - 6) (y + 10) = 0[/tex]

Solve for y

[tex]y -6=0\ or\ y+10=0[/tex]

[tex]y =6\ or\ y=-10[/tex]

Recall that:

[tex]x = -4 - y[/tex]

So:

[tex]x = -4-6= -10[/tex]

or

[tex]x = -4--10= 6[/tex]

So:

[tex]y =6\ or\ y=-10[/tex]

[tex]x = -10\ or\ x =6[/tex]

The two numbers are 6 and -10

An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?

Answers

Answer:

The airplane starts its descent from an altitude 500 feet higher.

Step-by-step explanation:

Given that:

F(x) = - 200x+20,000

g(x) = -200x+20,500

The functions are written in slope intercept format :

With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :

The slope is -200 ; which means that the descent rate of the airplane is 200

The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.

Find the volume of a right rectangular prism if the dimensions of the base are 4 centimeters by 9 centimeters and the height is 11 centimeters.​

Answers

Answer:

396 cubic centimeters

Step-by-step explanation:

Given that

The dimension of the base is 4 centimeter by 9 centimeter and the height is 11 centimeter

We need to find out the volume of the right rectangular prism

We need to apply the following formula

As we know that

Volume = lwh

here

l denotes the length

w denotes the width

And, h denotes the height

= (4) (9) (11)

= 396 cubic centimeters

Answer:

A 396 cm^3 is correct

Step-by-step explanation:

pleasee helpp, thank you!!

Answers

Answer:

- 1/4

Step-by-step explanation:

i HOPE it helps!!!:)))

160 is what percentage of 40?​

Answers

Answer:

400

Step-by-step explanation:

Answer:

400%

Step-by-step explanation:

If you meant what percentage 40 is of 160, its 25%

40/160= 1/4= 25%

160/40= 4/1= 400%

Henri buys 126 inches of a fabric that costs $12 for each yard. How much dos Henri pay for the fabric

Answers

Answer: $47.28

Step-by-step explanation:

There are 126 inches of fabric.

You need to convert this to yard as that is the pricing unit.

1 yard = 36 inches

126 inches is:

= 126/32

= 3.94 yards

Cost is $12 per yard so Henry pays:

= 12 * 3.94

= $47.28

A rabbit (primary consumer) was preyed upon and consumed by a fox (secondary consumer). Before being consumed, the rabbit had eaten leaves and berries. The leaves and berries contained 20 kJ of energy. How many kilojoules of the energy from the leaves and berries did the fox obtain after eating the rabbit?

Answers

Answer:

2kJ

Step-by-step explanation:

Use the 10 percent rule:

20kJ=20,000J

20,000J*0.10=2,000J=2kJ

Using the graph below, calculate the average rate of change for f(x) from
x = 0 to x =2

1) -4

2) -2

3) 2

4) 4

Answers

Answer:

4

Step-by-step explanation:

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

a = 0,

f(a) = f(0) = -2 (from the graph given)

b = 2,

f(b) = f(2) = 5 (from the graph)

Plug in the values

Average rate of change = [tex] \frac{5 - (-2)}{2 - 0} [/tex]

[tex] = \frac{7}{2} [/tex]

= 3.5 ≈ 4 (approximated)

Select all of the expressions that are equal to 1/8
8÷1
2÷16
2÷1/4
1÷8
1/4÷2

Answers

Answer:

Step-by-step explanation:

2/16

1/8

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

Kim and Kate sell gym memberships. Kim earned $50 her first day of work and $75 each day after that. Kate earned $35 her first day of work and $75 each day after that. Part A Find the pattern for calculating the amount that Kim and Kate each earn. Use the drop-down menus to complete the statements. For Kim, start at 50 and add 75 for each day after the first day. For Kate, start at 35 and add 75 for each day after the first day. Part B How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all. 180 225 260 275 330 375 Kim will have earned $ and Kate will have earned $ after 4 days.

Answers

For Kim, start at  50  and add  75  for each day after the first day.

For Kate, start at  35  and add  75  for each day after the first day.

Part B

How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.

Kim will have earned $ 275  and Kate will have earned  260  after 4 days.

Dave jarred 12 liters of jam after 6 days. How much jam did Dave jar if he spent 9 days making jam?

Answers

Answer:

18 liters of jam after 9 days

Step-by-step explanation:

12 liters = 6 days

12 liters ÷ 6 days = 2 liters per day

2 liters per day x 9 days = 18 liters of jam in 9 days

Dave jarred 18 liters of jam in 9 days

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

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