1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka [77]
3 years ago
14

A can of paint is 15 centimeters high and has a ddiameter of 13.6 cm. what is the volue of the can? Round to the nearest tenth.

Mathematics
2 answers:
Evgen [1.6K]3 years ago
6 0

Answer:

V=πr2h=π·6.8^2·15≈2179.00866

2179 cm^3  

Step-by-step explanation:

shusha [124]3 years ago
4 0
Hello! A can is the shape of a cylinder. The formula for the volume of a cylinder is this: pi * r^2 * h. The radius is 1/2 of the diameter. Half of 13.6 is 6.8. 6.8^2 is 46.24. 46.24 * 15 is 693.6. Now, we can multiply by pi as 3.14. 693.6 * 3.14 is 2,177.904 or 2,177.9 when rounded to the nearest tenth. The volume of the cam is approximately 2,177.9 cubed centimeters.
You might be interested in
Pre-calc<br> Evaluate f(2) using substitution:<br> f(x) = 2x^3 – 3x^2– 18x-8
krek1111 [17]

Answer:

f(2) = -40

Step-by-step explanation:

Just substitute x=2 into the function:

f(x) = 2x³ - 3x² - 18x - 8

f(2) = 2(2)³ - 3(2)² - 18(2) - 8

f(2) = 2(8) - 3(4) - 36 - 8

f(2) = 16 - 12 - 44

f(2) = 4 - 44

f(2) = -40

8 0
2 years ago
Which is the graph of f(x) = -3√x?<br>pls answer quickly​
k0ka [10]

Answer: the graph farthest to the right is almost correct. If you substitute values for x in the function f(x)= -3√x , the output does not match the curve on the graphs shown.

If you have a choice that includes only a curve to the right of the y- axis, that would be better.

Step-by-step explanation: Square roots of Negative x-values will result in imaginary numbers. Otherwise the graph with the curve passing through coordinates (1,-3) (4,-6) and (9,-9) is a good choice.

(And ask your teacher about the square root of negative numbers on this graph.)

4 0
2 years ago
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinat
tensa zangetsu [6.8K]

Answer:

The volume of the largest rectangular box (V) = 81/4

Step-by-step explanation:

<u>Step 1</u>:-

Given volume of the largest rectangular box in the first octant

V = l b h

let (x ,y, z) be the one vertex in the given plane

V = f(x, y, z) = x y z

given plane.   Ф (x, y, z) = x + 9y + 4z = 27 ........(1)

<u>Step( ii):</u>

By using  Lagrange multipliers

Suppose it is required to find the extreme for the function f(x, y, z) subject to the condition Ф (x, y, z) =0

Form Lagrange function F(x, y, z) = f(x, y, z) + λ  Ф (x, y, z) where λ is called the Lagrange multipliers

F(x, y, z) = x y z+ λ ( x + 9y + 4z - 27) ......(2)

Obtain the equations are δ F / δ x = 0

                                  δ f / δ x +λ  δ Ф  / δ x =0

                           ⇒ y z + λ ( 1) = 0

                          ⇒ y z = - λ ......(a)

Obtain the equations are δ F / δ y = 0

                            δ f / δ x +λ  δ Ф  / δ x =0

                        ⇒ x z + λ ( 9) = 0

                        ⇒ \frac{xz}{9} = - λ .......(b)

Obtain the equations are δ F / δ z = 0

                                  δ f / δ x +λ  δ Ф  / δ z =0

                                   x y + λ ( 4) = 0

                                    ⇒ \frac{xy}{4} = - λ .......(c)

<u>Step (iii):-</u>

Equating (a) and (b) equations

we get         y z = \frac{xz}{9}

cancel 'z' value we get  x = 9y  .......(d)

Equating (b) and (c) equations

we get     \frac{xy}{4}  = \frac{xz}{9}

cancel 'x' value on both sides , we get

              4z =9y  ......(e)

substitute (d) (e) values in equation (1)  we get

x + 9y + 4z -27 = 0

9y + 9y + 9y -27 =0

27y -27 =0

<u> y = 1</u>

substitute y =1 in x = 9y

<u>x = 9</u>

substitute y =1 in 4z =9y

<u>z = 9 /4</u>

therefore the dimensions are x =9 , y=1 and z = 9 /4

<u>Conclusion</u>:-

The largest volume of the rectangular box V = x y z

substitute x =9 , y=1 and z = 9 /4

V = 9(1)(9/4) =81/4

The largest volume of the rectangular box (V) = 81/4

Verification :-

Given plane x + 9y + 4z = 27

substitute x =9 , y=1 and z = 9 /4

              9 + 9 + 4(9/4) = 27

           27 =27

so satisfied equation

     

3 0
3 years ago
The table shows the pricing for four different brands of cat food.
Sauron [17]
The answer to this question is D ( $0.18 ) per ounce:-)
6 0
3 years ago
Use the formula A = h(b1 + b2).<br> What is the area of the trapezoid?<br> square units
deff fn [24]

Only use h=trapezoid's height.

b=base

4 0
3 years ago
Read 2 more answers
Other questions:
  • The cable supporting a ski lift rises 2 feet for each 5 feet of horizontal length. The top of the cable is fastened 1320 feet ab
    13·1 answer
  • A gate is 3 feet tall and casts a shadow 5 feet long .At the same time a nearby building casts a shadow 45 feet long.
    13·1 answer
  • How to solve sum of integers between square roots?
    7·1 answer
  • What type of number is -2343​
    8·2 answers
  • What us number seven to length to the nearest centimeter
    9·1 answer
  • 2.)Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot a_n-1a n + 1 = 3 ⋅ a n − 1
    9·1 answer
  • 32=32+? I need help its annoyings
    8·2 answers
  • Let the graph of g be a translation 5 units up followed by a reflection about the y−axis of the graph of f(x)=6x. Write a rule f
    13·1 answer
  • Please Help me solve this (Who ever answers correctly will get brainlest)
    15·2 answers
  • D₁ vide using x² - 2x² 2× +3× -5 by ×-3 using synthetic division. <br>​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!