A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.

480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.

Answers

Answer 1

Answer:

216π sq ft

Step-by-step explanation:

given that :

d = 12 ft => r = 12/2 = 6ft

h(cyl) = 10 ft

h(cone) = 8 ft

the surface area = ?

the solution :

the slant of cone = √r²+h²

= √6²+8²= √100 = 10 ft

the surface area of silo =

the lateral area of cone + the lateral area of cylinder + the base area

= π×r×slant + 2×π×r×h(cyl) + π×r²

= π×6×10 + 2×π×6×10 + π×6²

= 60π + 120π + 36π

= 216π sq ft

Answer 2

The surface area of the silo will be 216π square feet. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.

The surface area is the sum of the surface area of the cone and cylinder. Then we have

The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.

Surface area = πrl + 2πrh + πr²

The length of the radius will be

r = d /2

r = 12 / 2

r = 6 ft

The length of slant height will be

l² = 6² + 8²

l² = 100

l = 10 ft

Then the surface area of the silo will be

SA = π × 6 × 10 + 2π × 6 × 10 + π6²

SA = 60π + 120π + 36π

SA = 216π square feet

The surface area of the silo will be 216π square feet.

Then the correct option is C.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2


Related Questions

I need help fast with the first question in the page which is the find algebraically in R

Answers

Answer:

2x²+5x-6 = 0

using the quadratic formula

x = 0.886 and x= -3.386

Rewrite the following polynomial in standard form. -x -7x^2 -10

Please Help

Answers

Answer:

-7x^2 - x - 10

Step-by-step explanation:

Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power:  x^2, x^1, x^0

Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:

                                       -7x^2 - x - 10

This result is in "standard form."

[tex]-7x^2-x-10

[/tex]

Find the area of the circle.​

Answers

Step by step in the picture

Answer:

153.86

Step-by-step explanation:

So first off, what is the formula for finding area of a circle?

Its [tex]\pi r^{2}[/tex]

We know that r(radius), is the distance from one point of the circle to its center.

In this case it is 7.

Note that in other cases, you might see a line going strait through the middle of the circle.

This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.

Now, back to the problem.

We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:

[tex]\pi *7^{2}[/tex]

=

[tex]\pi *49[/tex]

=

153.93

So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.

However, it is the only possible answer, so it is correct.

Answer:

153.86

Hope this helps!

if 7=42,6=30,5=20 then 3=? find it's value​

Answers

Answer:

6

Step-by-step explanation:

7=42 is 7*6

6=30 is 6*5

5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2

3 = 6

Step-by-step explanation:

Given: 7 = 42, 6 = 30, 5 = 20

7 (x 6) = 42

6 (x 5) = 30

5 (x 4) = 20

Follow the pattern

4 (x 3) = 12

3 (x 2) = 6

3 = 6

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?

y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)

Answers

Answer:

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Step-by-step explanation:

Given

[tex]x_1 = -2[/tex]

[tex]x_2 = 3[/tex]

[tex](x,y) = (-1,2)[/tex] --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

[tex]y =k(x - x_1)(x - x_2)[/tex]

Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]

[tex]y =k(x - -2)(x - 3)[/tex]

[tex]y =k(x +2)(x - 3)[/tex]

To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]

[tex]2 = k(-1+2)(-1-3)[/tex]

[tex]2 = k(1)(-4)[/tex]

[tex]2 = -4k[/tex]

Divide by -4

[tex]k=\frac{2}{-4}[/tex]

[tex]k=-\frac{1}{2}[/tex]

So, the equation is:

[tex]y =k(x +2)(x - 3)[/tex]

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Answer: c

Step-by-step explanation:

Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4

Answers

Answer:

jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.

Step-by-step explanation:

5-2=3

3-1=2

8-4=4

Answer:

jeff 3 apples, kyle 2 apples, kelsea 4 apples

total apples left = 9 apples

total apples eaten = 7 apples

total apples = 16 apples

Step-by-step explanation:

Trong đợt xảy ra một loại dịch bênh X ,người ta điều tra ngẫu nhiên 1600 nhười dân ở một vùng thấy có 160 người đã được tiêm vaccine đủ liều và đúng lịch

Answers

Answer:

Probability of an event = 1 / 10

Step-by-step explanation:

Given:

Total number of people in particular area = 1,600

Number of people vaccinated = 160

Find:

Probability[people vaccinated]

Computation;

Probability of an event = Number of favorable outcomes / Total number of outcome

Probability of an event = 160 / 1600

Probability of an event = 16 / 160

Probability of an event = 1 / 10

125.315 to two significant figures

Answers

Answer: 130

Step-by-step explanation:

The five rounds up making it 130

Eva bought a guitar for $80. Later that guitar was marked down by 35%. By how much has the value been decreased?

Answers

Answer:

r

Step-by-step explanation:

Answer:

$52 is the sale price.

Step-by-step explanation:

First find 35% of $80. Multiply .35 x 80 to do this.

.35 x 80 = 28

Then subtract 28 from the original price 80.

80 - 28 = 52

Please help I’ll give brainliest

Answers

Answer:

3675

Step-by-step explanation:

30 POINTS HURRY ILL GIVE BRANLIEIST!!!

A landscape architect built a rectangular playground. The length and width of the playground measure 4x and 2x meters. The playground has an area of 800 m^2. How much fencing is needed to fully enclose the playground?

Answers

i think that the fencing is needed
120 m of fencing is needed to fully enclose the playground. X = 10. 12x = 120 m.

Brian purchased a rectangular-shaped granite countertop for the island in his kitchen. The granite slab measures

72 inches by 42 inches by 1.25 inches. If the density of granite is 170 pounds per cubic foot, how much does the

countertop weigh in pounds?



HELP ME PLEASE!!!

Answers

Answer: [tex]371.8\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]

Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]

Volume of granite countertop

[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]

We know, 1 ft=12 inch

[tex]\therefore V=2.187\ cm^3[/tex]

Weight of granite

[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]

What is the value of n?

Answers

Answer:

n = 28 degree

Step-by-step explanation:

2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)

6n +12 = 180

6n = 180 - 12

n = 168/6

n = 28 degree

6n+12=180
180-12=168
168\6=28

can somebody help me frl frl cause I'm failing ​

Answers

i’m pretty sure the answer is 8pi, but here’s what i did to answer it :)

Find c Round to the nearest tenth 27 201 28 c=?

Answers

Answer:

56.3 =c

44.1 =a

Step-by-step explanation:

Using the law of sines

sin 102        sin 28

----------  = ----------

c                 27

Using cross products

27 sin 102 = c sin 28

Divide by sin 28

27 sin 102

------------   = c

sin 28

56.25470702= c

Rounding to the nearest tenth

56.3 =c

To find a

We need Angle A

A = 180 - 102 -28

A = 50

sin 50        sin 28

----------  = ----------

a                 27

Using cross products

27 sin 50 = a sin 28

27 sin 50

------------   = a

sin 28

44.0563425= a

Rounding to the nearest tenth

44.1 =a

Encuentra en cada producto notable el error o errores,enciérralo y escribe el resultado correcto.

Answers

Given:

The equation is:

[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]

To find:

The error in the given equation and correct it.

Solution:

We have,

[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]

Taking left-hand side, we get

[tex]L.H.S.=(2x+3y)(2x-3y)[/tex]

[tex]L.H.S.=(2x)^2-(3y)^2[/tex]                 [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]L.H.S.=(2)^2(x)^2-(3)^2(y)^2[/tex]       [tex][\because (ab)^x=a^xb^x][/tex]

[tex]L.H.S.=4x^2-9y^2[/tex]

It is not equal to right-hand side [tex]4x^2+6y^2[/tex]. In the right hand side, there must be a negative sign instead of positive sign.

Therefore, [tex](2x+3y)(2x-3y)=4x^2-6y^2[/tex].

Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error

Answers

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

Hello everyone
Please need this
thank you

Answers

Answer:

a. x=9

b. PR = 59

Step-by-step explanation:

a. 11x-40 = 6x+5

11x-6x=5+40

5x=45

x=9

b. PR = 11(9) -40

= 99-40

= 59

Find the missing angle

Answers

Answer:

∅ ≈ 34º

Step-by-step explanation:

sin = opp/hyp

∅ = arcsin opp/hyp

∅ = arcsin 14/25

Use calculator

∅ = 34.055797742567906

∅ ≈ 34º

Answer:

is 55

Step-by-step explanation:

×[tex]\frac{x}{1}*\frac{14}{25}[/tex]⇒0.56

cos0.56

55

HELP ME PLEASE ITS FOR MATH

Answers

Answer:

4.50

Step-by-step explanation:

[tex] \sin(40) \times 7 = 4.499513268[/tex]

round it up

[tex] = 4.50[/tex]

can someone please answer this

Answers

Answer:

x = 100

It is on a straight line and so, it equals to 180.

180 - 80 = 100

x=100
explanation
i got it from the guy above me

At sunrise, the outdoor temperature was 2 degrees
below zero. At dusk, the outdoor temperature has
dropped to 15 degrees below zero. What is the distance
between the two temperatures?

Answers

Answer: 13 degrees

Step-by-step explanation:

1. - 2<0

2. (- 2)-(-15)=(-2)+15=13

HELPPPPP!!!! ASAPPPPP!!!!

Answers

Answer:

the second one

Step-by-step explanation:

The Correct answer is B, RV is equal to SU

Which expression is equal to 12x
A. 4x + 4x - 4x
B. 24x/2
C. (3x)(4x)
D. 15x - 3​

Answers

Answer:

B.

Step-by-step explanation:

4x + 4x - 4x = 4x

24x ÷ 2 = 12x

3x • 4x = [tex]12x^2[/tex]

15x - 3 = 15x - 3

Answer:

B. 24x/2

Step-by-step explanation:

12x

A. 4x + 4x - 4x = 8x - 4x = 4x

B. 24x/2  = 24/2 x = 12x

C. (3x)(4x) = 12 x^2

D. 15x - 3​ = 15x -3  ( no like terms

Aldo drives a truck for a soft drink company. His truck is filled with 15 ounce cans and 70 ounce bottles. Let c be the number of 15 ounce cans the truck is carrying, and let b be the number of 70 ounce bottles suppose the truck can carry 7000 pounds (112,000 ounces) using the values and variables given write an inequality

Answers

Answer:

15c+70b[tex]\leq[/tex]112000

Step-by-step explanation:

Truck could carry 7000 pounds.

There are 15 ounce cans and 70 ounce bottles.

There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.

So, C number of cans can  carry 15C ounces

'b' number of bottles can carry 70b ounces

So, we can set up inequality as

15c+70b[tex]\leq[/tex]112000

Calculate the distance of line segment AB.
1 pm
B
A
24 cm
10 cm
с
14
O 25
O 28
0 26
O 31

Answers

Answer:

26 cm

Step-by-step explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]24^2+10^2=c^2[/tex]

576 + 100 = 676

[tex]\sqrt{676}[/tex] = 26 cm

Just wanna double check my answer on this one. I got a profit of 60%

Answers

Answer:

Yes the answer is indeed 60%

the answer is 60% so you are correct

HELP ⚠️⚠️⚠️
WILL GIVE BRAINLIEST⚠️⚠️⚠️
DID THE SHOP MEET THE TARGET?⚠️⚠️
WORTH MANY POINTS!!

Answers

Answer:

No the shop did not meet the 65 mean.

Step-by-step explanation:

The mean is the same thing as the average of the sales. So the first six months sales were 52, 82, 71, 92, 51, and 28. the average of these six numbers is 62.66667 which is short of the 65 mean.

52+82+71+92+51+28=376

take that number 376 and divide by the number of months (6)

376/6=62.66667

2.8x + x (3)
i need the answer to this math question and show your work please

Answers

5.8x
Work:
2.8•3+3=5.8x

complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)

Answers

Answer:

5 grams/metres squared = 50 kg/hectares

Step-by-step explanation:

We need to convert 5 grams/metres squared to kilograms/hectares.

We know that,

1 kg = 1000 g

1 hectare = 10000 m²

So,

[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]

Hence, 5 grams/metres squared = 50 kg/hectares

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