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
Alex_Xolod [135]
2 years ago
15

A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?

Mathematics
1 answer:
avanturin [10]2 years ago
5 0

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

V=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

r=10.4\ ft\\\\h=8.4\ ft

You get this volume:

V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3

If you double the radius, the volume of the conical tent will be:

V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3

When you divide both volumes, you get:

\frac{3,805.70\ ft^3}{951.43\ ft^3}=4

Therefore, doubling the radius will quadruple the volume of the tent.

You might be interested in
a parallelogram has an area of 288 ft squared. If the base of the parallelogram is 24 ft, what is the height of the parallelogra
labwork [276]

Answer:H=12Ft

Base:24

Area:288

A=bh

h=A/b=288/24=12ft

7 0
3 years ago
Please help me!!!!!!!!!
Aneli [31]
It’s 45, since the bottom corner is 90, the top one is 45 bc if you turn it into a rectangle it has to be 90 also and half of that is 45, 90 plus 45 is 135 and all the angle of a right triangle make 180, so 180 minus 135 is 45
5 0
2 years ago
Read 2 more answers
How am I supposed to figure this out if csc Theta(0) has a radical number on the top?
Harman [31]
\bf csc(\theta)=\cfrac{hypotenuse}{opposite}\implies csc(\theta)=\cfrac{\sqrt{7}}{2}\cfrac{\leftarrow hypotenuse=c}{\leftarrow opposite=b}\\\\
-----------------------------\\\\
\textit{so hmm using the pythagorean theorem, we can say that}\\\\
c^2=a^2+b^2\implies \pm \sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
b=opposite\\
a=adjacent
\end{cases}\\\\
\textit{we'll assume is the + of the root, since you're not}\\
\textit{given further info on it, that means the I quadrant}\\\\


\bf -----------------------------\\\\
cos(\theta)=\cfrac{a}{c}\qquad sec(\theta)=\cfrac{c}{a}\qquad tan(\theta)=\cfrac{b}{a}\qquad cot(\theta)\cfrac{a}{b}


so just find the "adjacent" side, using the pythagorean theorem, and even though the square root can give you +/-, use the positive one, assuming the angle is in the 1st quadrant

keeping in mind, that the 2nd quadrant is feasible as well, since the opposite side of +2 can also be in the 2nd quadrant

but anyhow, use the I quadrant

7 0
3 years ago
1) What is the prime factorization of 195?
White raven [17]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
A package of 4 pairs of insulated gloves costs ​$35.16. What is the unit price of the pairs of gloves​?
sergeinik [125]
<h2>Hello there! Janise here!</h2><h2>UwU UwU UwU UwU UwU UwU!</h2><h2>The answer is 8.79.</h2><h2>35.16 divided by 4 = 8.79</h2>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Are Simple statements are often just called statements
    5·1 answer
  • 20. Bob had 7/8 pack of construction paper. If he used 1/5 of the paper to 5 points
    9·1 answer
  • What is the answer to 91.23*50.73
    12·1 answer
  • What is the slope of the line that is perpendicular to the given line x-2y=10?
    6·1 answer
  • Find the greatest common factor
    9·1 answer
  • Please help it’s due in ten minutes!!!
    9·1 answer
  • Irene is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 8 inches × 13 1/2 inch
    13·1 answer
  • Uh Expanded form pls? 4.02 x 10^5
    14·2 answers
  • Help please...shape a1+(n-1)d in graph form
    11·2 answers
  • Question is in the pic<br><br> pls include step by step if possible
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!