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
spin [16.1K]
3 years ago
15

Find the volume of the right cone. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

574.82 cubic yards

Step-by-step explanation:

The diameter of the cone =14 yards

The angle between the height and slant height measures 32 degrees.

First, we determine the height of the cone using trigonometry.

In Right Triangle AOB,

Tan 32=\dfrac{7}{|AO|} \\|AO|*Tan 32 =7\\$Height of the Cone, $|AO|=\dfrac{7}{Tan 32} =11.2023 \:yards

\text{Volume of a Cone=}\dfrac{1}{3}\pi r^2h\\Volume =\dfrac{1}{3}\pi*7^2*11.2023\\=574.82$ cubic yards

The volume is about  575 cubic yards.

You might be interested in
The measures of two complementary angles are m< 1 = 162 - 9 and m<2 = 4z - 1. Find m<2.
Novay_Z [31]

Answer:

yyyyyy yyyyyyyyyyyyyyyyy

5 0
3 years ago
Please help, math question.
Veseljchak [2.6K]
Part a) 
Identify the variable and categories


By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
 

6 0
3 years ago
Which equation shows that 30 is 6 times as many as 5?
irina [24]

Answer:

30 divided by 5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many 5/8s are in 3
In-s [12.5K]
Well, in 3 there are 24/8s.
That can fit four 5/8's in it with 4/8s left over.
So your answer is 4
8 0
3 years ago
Read 2 more answers
The losing candidate in a mayoral election received 10,200 votes, which represented 30% of all votes cast in the election.
ElenaW [278]

well, in the election, the losing candidate received 10200 votes, and we know that's 30% of the whole votes cast, le's say the whole amount is "x" or namely 100%.

B)

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 10200&30\\ x&100 \end{array}\implies \cfrac{10200}{x}=\cfrac{30}{100}\implies \cfrac{10200}{x}=\cfrac{3}{10} \\\\\\ 102000=3x\implies \cfrac{102000}{3}=x\implies 34000=x

A)

Dorian's 3060 is really 30% of 10200, however, the losing candidate received 30% of the total votes cast, and that is 10200, so Dorian mistakenly is using 30% of the 30% received by the losing candidate as point of reference for her total.

5 0
3 years ago
Other questions:
  • I need help on these questions
    7·1 answer
  • Suppose A and B are independent events if P(A) = 0.4 And P(B) = 0.1, what is P(A'uB)? APEX
    15·1 answer
  • Translate the following into an algebraic expression: A number is 30% of 20% of the number x.
    15·1 answer
  • What is the arclength of PQ
    15·1 answer
  • English economist Thomas R. Malthus predicted that there would not be any problems resulting from population growth. Please sele
    5·2 answers
  • The nth term of a sequence is 3n2/2
    13·1 answer
  • A cone-shaped building has a height of 11.4 meters and a base with a diameter of 12 meters. The building will be filled with roa
    10·2 answers
  • Hi! Does anybody know how to do this?
    11·1 answer
  • Given that (-1,3) is on the graph of f(x), find the
    5·1 answer
  • ✓<br> What is the value of the expression below?<br> -8+ 9+8<br> 0<br> 11<br> 19<br> 35
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!