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
Kay [80]
3 years ago
11

In the figure. d=4 yd, h=6 yd, and H=8 yd. What is the approximate volume of the figure? Use 3.14 to approximate

Mathematics
2 answers:
Nesterboy [21]3 years ago
5 0
Check the picture below.

so is really just a cylinder with a cone on the side, notice, since the diameter of the base is 4, the radius is half that then.

so we just simply get the volume of the cylinder, and the cone, and sum them up

\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2\\
h=6
\end{cases}\implies V=\pi \cdot 2^2\cdot 6\\\\
-------------------------------\\\\
\textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2\\
h=2
\end{cases}\implies V=\cfrac{\pi \cdot 2^2\cdot 2}{3}\\\\
-------------------------------\\\\
\stackrel{cylinder's~volume}{24\pi }~~+~~\stackrel{cone's~volume}{\cfrac{8\pi }{3}}

Anastasy [175]3 years ago
4 0

Answer: 84yd

Step-by-step explanation:

Vcylinder=πr2h

=π(2)2(6)

=24π

≈24(3.14)

≈75.36 yd

_____________________

The height of the cone is the height of the figure minus the height of the cylinder:

8 yd−6 yd=2 yd

Vcone=13πr2h

=13π(2)22

=223π

≈223(3.14)

≈8.37 yd3

Add the volumes.

75.36 yd3+8.37 yd3=83.73 yd3

To the nearest cubic yard, the volume is 84 yd3.

You might be interested in
Use the elimination method to solve the system of equations
Lady bird [3.3K]

Answer:

D

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

4 0
2 years ago
20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job ta
tatuchka [14]

Answer:

the \: slope \: is \to \boxed{60}

Step-by-step explanation:

if \to C=65+60t \\  C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m =  \frac{60t}{t}  \\ m = 60 \\  the \: slope \: is \to \boxed{60}

5 0
2 years ago
Read 2 more answers
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be abl
LenKa [72]

Answer:

Incorrect

Step-by-step explanation:

Well since there is only 18 cups of dog food he will only be able to feed his dog for 18 days since he feeds his dog 1 cup a day.

7 0
2 years ago
Read 2 more answers
If Michelle had 5 cups of water 4 cups sugar and 3 cups of powdered lemonade what is the fraction of powdered lemonade
m_a_m_a [10]
I think it would be 2/3 maybe
4 0
3 years ago
Read 2 more answers
A ladder is 80 inches tall. How tall is it in feet and inches?
Veseljchak [2.6K]

Answer:

6'8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Help please with question 3
    14·2 answers
  • The table shows the ingredients used in a medicine. If all the decimals were rounded to the nearest whole percent, would this ta
    11·2 answers
  • I need to find the area of a semicircle with a radius of 2 units
    14·1 answer
  • What is the equation of the line in slope -intercept from that is perpendicular to the line y=3/4x-2 and passes through the poin
    7·1 answer
  • amrya has sixty hundredths of a dollar.how much money does amrya have written as a fraction in simplest form?
    12·2 answers
  • The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total c
    9·1 answer
  • At a restaurant, a meal gives a choice between 4 entrees: Steak, Chicken, Fish or Lamb chops, two sides: potato, or rice and thr
    12·1 answer
  • Which property is illustrated by this problem? 99.78 + 0 = 99.78
    5·1 answer
  • f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? exp
    9·1 answer
  • Sum of the angles of a triangle is equal t.....? <br><br>​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!