Find the volume of a right circular cone that has a height of 11.9 ft and a base with a radius of 16.3 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer 1

Answer:

3311.36ft^3

Step-by-step explanation:

Given data

Height h= 11.9ft

Radius=16.3ft

The expression for the volume of a cone is given as

Volume= 1/3πr^2h

substitute

Volume=1/3*3.142*16.3^2*11.9

Volume= 1/3*3.142*265.69*11.9

Volume= 1/3*9934.095962

Volume=3311.36ft^3

Hence the volume is 3311.36ft^3


Related Questions

simplify 6bab+ 12
bc​

Answers

The answer is 4/12 :) good luck!

4a-2b=10 what is the value of 2b-4a?

Answers

Answer:

-10

Step-by-step explanation:

4a-2b=10

-1(4a-2b)=-1*10

-4a+2b= - 10

2b - 4a = - 10

I think it’s 14? Is that right or no?

Answers

Answer:

Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!

Step-by-step explanation:

Whitney buys a coffee in a cylindrical cup with a cardboard sleeve so the cup isn’t too hot to hold. If the diameter of the sleeve is 5 inches and the height of the sleeve is 4 inches, what is
the surface area of the cardboard sleeve?

Answers

Answer:

102.05 inches squared

Find the slope of the line graphed

Answers

Answer:

the slope of the line is -2

Answer:

a = 2/5 or 0.4 (a is the slope value)

Step-by-step explanation:

y-int=-2

x-int=5

| x-int | / | y-int | = slope

|-2| / |5| = 2/5

Hiiiooo can someone please help me ❤️❤️:D

Answers

Answer:

10

Step-by-step explanation:

because it shows where the line is

10 have a good day hope it's helped

Find the equation, in slope-intercept form, of a line with a slope of 5/2 which goes through the point (-2, 4). ​

Answers

Answer:

y=5/2x+9

Step-by-step explanation:

y-y1=m(x-x1)

y-4=5/2(x-(-2))

y-4=5/2(x+2)

y=5/2x+10/2+4

y=5/2x+5+4

y=5/2x+9

11. Bethany is paid 4% commission on
carpet sales. She sold $850 worth of
carpet to a family today. What was
her commission?

Answers

$34. You take $850 multiply it by the percent as a decimal, so 850*.04=$34 :)
34$ is four percent of 850

is -3 rational number​

Answers

Answer:

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. Rational numbers are denoted  Q

.

Since  −3  can be written as  −3/1

, it could be argued that  −3  is also a real number.

Answer:

yes

Step-by-step explanation:

Any rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← a and b are integers , then

- 3 = [tex]\frac{-3}{1}[/tex] ← in rational form

Thus - 3 is a rational number

A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the pyramid?

Answers

Answer:

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = [tex]length^{2}[/tex]

                            = [tex]4^{2}[/tex]

                            = 16

Area of its base = 16 [tex]inches^{2}[/tex]

Area of one of its triangular surface = [tex]\frac{1}{2}[/tex] x base x height

                                 = [tex]\frac{1}{2}[/tex] x 4 x 12

                                 = 2 x 12

                                 = 24 [tex]inches^{2}[/tex]

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 [tex]inches^{2}[/tex]

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 [tex]inches^{2}[/tex]

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

What is the radius and diameter of the following circle?

Answers

Answer:

Radius = 16cm

Diameter = 32cm

Step-by-step explanation:

The Radius of a circle is half the diameter of the circle. The radius is how far the outside of the circle is from the middle of the circle. To find the Diameter add the radius twice, for example 16+16. Don’t forget your UNIT it is in Centimeters in this case.

The radius is 16

Diamiter is 32

Simplify the following expression.

Answers

Answer:

1/64

Step-by-step explanation:

Simplify the following:

1/(4^(11/3)×4^(-2/3))

Hint: | Simplify radicals.

1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:

1/(4^(11/3)×(1/2^(1/3))/2)

Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).

Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):

1/(4^(11/3)×(2^(2/3))/(2×2))

Hint: | Multiply 2 and 2 together.

2×2 = 4:

1/(4^(11/3)×(2^(2/3))/4)

Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.

4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):

(4^(-12/3) 4^(1/3))/((2^(2/3))/4)

Hint: | Divide 12 by 3.

12/3 = (3 (-4))/3 = 4:

(4^(-4) 4^(1/3))/((2^(2/3))/4)

Hint: | Compute 4^4 by repeated squaring.

4^4 = (4^2)^2:

(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2

Hint: | Evaluate 4^2.

4^2 = 16:

(4^(1/3))/(16^2×(2^(2/3))/4)

Hint: | Evaluate 16^2.

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

(4^(1/3))/(256×(2^(2/3))/4)

Hint: | Simplify radicals.

4^(1/3) = (2^2)^(1/3):

1/(256×(2^(2/3))/4) 2^(2/3)

Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.

Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):

(2^(2/3)×4)/(256×2^(2/3))

Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).

(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:

4/256

Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.

The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:

Answer: 1/64

20 points!!!!

Determine the area of the composite figure to the nearest whole number.
A)
68 in?
B)
87 in2
C)
110 in2
D)
126 in?

Answers

Should be B! Hope it helps
The answer Is B, hope It helps

According to the line plot, what is the total distance run for all of the runners combined?

Answers

Answer:

Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles

Step-by-step explanation:

1/5 + 2(1/4) + 4(1/3) + 3(1/2)

Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.

Answers

Answer:

c = 5/Cos 35

Step-by-step explanation:

We are given the following

m<ACB = 90degrees

m<ABC = 35degrees

The side opposite to m<ABC is AC

BA = hypotenuse

CB = adjacent = 5inches

Required

Equation to solve BA which is c

Using the Pythagoras theorem;

Cos theta = Adjacent/Hypotenuse

Cos m<ABC = CB/BA

Cos m<ABC = 5/c

c = 5/cosm<ABC

c = 5/Cos 35

Hence the equation that can be used to solve for c is c = 5/Cos 35

Find the volume of a rectangular prism with a length of 6 cm, width of 2 cm and height of 5 cm. What is the volume of the prism

Answers

Answer:

60 cm^3

Step-by-step explanation:

Missy started with $217 in her bank account. She deposits $25.50 each week and never withdraws any money. What expression can Missy use to determine her account balance after w weeks?

Answers

Answer: yep

Step-by-step explanation:

Answer:

217+25.5w

ye thats it

Why tan(π/4) = 1 can you explain it simply? Also can we use it with cos, cot, sin, sec and cosec? Thanks! please, please dont write random answers it may be reported.

Answers

Answer:

1) tan π/4 = 1

2) cos π/4 = 0.7071

3) cot π/4 = 1

4) sin π/4 = 0.7071

5) sec π/4 = 1.4142

6) cosec π/4 = 1.4142

Step-by-step explanation:

Angle π is in radians

But converting to degree, it is;

π = 180˚

Thus; π/4 = 180/4 = 45°

Thus;

1) from calculator; tan π/4 = tan 45° = 1

2) from calculator, cos π/4 = cos 45° = 0.7071

3) cot is equivalent to 1/tan

Thus; cot π/4 = 1/(tan π/4) = 1/tan 45 = 1/1 = 1

4) from calculator, sin π/4 = sin 45° = 0.7071

5) sec in trigonometry is equivalent to 1/cos.

Thus;

sec π/4 = 1/cos π/4 = 1/cos 45° = 1/0.7071 = 1.4142

6) cosec in trigonometry is equivalent to 1/sin

Thus;

cosec π/4 = 1/sin π/4 = 1/sin 45° = 1/0.7071 = 1.4142

Kara is sorting buttons by length for a craft project.The line plot shows of each button.If kara lines up all the 3/4 inch buttons What would be the total

Answers

Required picture attached below :

Answer:

2 1/4 inches

Step-by-step explanation:

From the line plot Given ;

The frequency or number of 3/4 inch button is 3

Therefore, lining up all the 3/4 inch button in the plot, we have :

3/4 + 3/4 + 3/4

(3 + 3 + 3) /4

9 /4

2 1/4 inch

please help me with my math​

Answers

Answer:

SA = 480 cm²

Step-by-step explanation:

Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)

Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)

= [tex]2(\frac{1}{2}\times 3\times 8)[/tex] + [(5 + 5 + 8)×12]

= 24 + 216

= 240 cm²

Area of the rectangular surface of the prism = 8 × 12 = 96 cm²

Surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = width and h = Height of the rectangular prism

                                                  = 2(8 × 12 + 12 × 6 + 6 ×8)

                                                  = 432 cm²

Surface area of the composite figure = (240 - 96) + (432 - 96)

                                                                = 144 + 336

                                                                = 480 cm²

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:x=3

Step-by-step explanation:

the 3 angles of a triangle equal 180

you add 105 and 46, which equals 151

you subtract 151 from 180 to see what the missing angle is (29)

you would make 6x+11 equal to 29

-subtract 11 from 29= 18

6x/6, 18/6

the answer is 3

hope this helps! :)

Find the area of the isoscelus, full working out x

Answers

Answer:

60

Step-by-step explanation:

Use the Pythagorean Theorem to find the height. 13 squared minus 5 squared=144

Square rt= 12

Now use the formula (base times height) divided by 2  

(10 x 12)/2

120/2

60

Two families go to a baseball game. One family purchases two adult tickets and
three youth tickets for $33. Another family purchases three adult tickets and two
youth tickets for $37. Find the individual price of each adult and youth ticket.

Answers

Youth tickets are 11$ each and adult tickets are $5 hope this helps

Find the area of a trapezoid. Help me pls for 13 points

Answers

Answer:

Area would be 110

328 x 36 Step by step

Answers

Answer:11808

Step-by-step: so start by putting the 328 on top of 36 then after multiple 6 by 8 2 and 3 then bring down the answers then do a 0 then multiply 3 by 8 2 and 3 and you get 11808

Drag fruit to represent each total weight shown.

Answers

5 grapes in the first box
3 strawberries in the second box
2 tomatoes (or whatever that is) in the third box

5/8 lb of fruit = 1/8+1/8+1/8+1/8+1/8=5/8
3/6 lb of fruit = 1/6+1/6+1/6=3/6
2/3 lb of fruit = 1/3+1/3=2/3
I do not know the answer

PLEASE HELP FAST



What is the volume of this

container?

2 in.
576 in3
6 in.
72 in3
6 in.
8 in.
504 in
648 in?
12 in.

Answers

Answer:

i dont see an image

Step-by-step explanation:

Answer:

504in3 (cubed)

Step-by-step explanation:

If m∠ABC = 48, what is m∠ABD?​

Answers

Answer:

if BD the bisector of angle ABC,

then Angle ABD = 1/2 * angle ABC

= 1/2 * 48

= 24

Answer:

24 °

Step-by-step explanation:

m< ABD = m< CBD + m< DBA

= 28 ÷ 2 = 24 °

James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per hour faster than the speed, r, that he drives to get home. It takes him t hours to get to the wedding and 1 hour to get home. Which equation best represents this information? A.) 45=20t B.)r+20=32 C.)45=(r+20)t+r D.)(r+20)t=r

Answers

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r

12 3/5 x 30 =
tyyyyyy

Answers

12 3/5 x 30 = 378

Can I get brainliest?

Answer:

378 is the answers it's not hard

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