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
LUCKY_DIMON [66]
3 years ago
7

A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the con

e? Use 3.14 for pi. Round your answer to the nearest hundredth. 5.81 inches 6.57 inches 7.89 inches 8.89 inches
Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
7 0
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.4\\
V=35
\end{cases}\implies 35=\cfrac{\pi (2.4)^2 h}{3}\implies 105=5.76\pi h
\\\\\\
\cfrac{105}{5.76\pi }=h\implies 5.805467091295 \approx h\implies 5.81 \approx h
stepan [7]3 years ago
6 0
Let's look at the formula used to find the volume of a cone.
πr²(h/3)=V
Let's fill in what we know. The volume is 35 and the radius is 2.4. Also, we're using 3.14 for pi. Let's fill this in.
2.4²(3.14)(h/3)=35
Let's find 2.4 squared.
5.76(3.14)(h/3)=35
18.0864(h/3)=35
Let's divide both sides by 18.0864.
H/3=1.93708353
Let's multiply both sides 3.
H=5.81125058
H≈5.81
So, the height is 5.81 inches.
You might be interested in
Triangles BAD and BDC are right triangles with AB = 12 units, BD = 15 units, and BC = 17 units. What is the area, in square unit
Irina18 [472]

Answer:

The area of the quadrilateral ABCD is 114 square units

Step-by-step explanation:

7 0
2 years ago
Find the perimeter of the rectangle
kifflom [539]

Answer:

22x + 24

Step-by-step explanation:

7x+9+7x+9+4x+3+4x+3

11x + 18 + 11x + 6

Mark brainliest please!

3 0
2 years ago
Read 2 more answers
The perimeter of a rectangle is given by P equals 2 l plus 2 w. Find the width of a rectangle whose length is 35 and perimeter i
maks197457 [2]
2l + 2w = P
l = 35,  P = 84,  w=?

2*35 + 2*w = 84
70 + 2w = 84
2w = 84 - 70
2w = 14
w = 14/2
w = 7 in
5 0
3 years ago
Round to the nearest hundredth.<br> 29.995
Nastasia [14]

Answer:

30.00

Step-by-step explanation:

Hope this helps!

5 0
2 years ago
Read 2 more answers
How many times does the diameter go around a circle?
marissa [1.9K]

Answer:

The circumference of a circle is approximately three times its diameter. If you divide the circumference by its diameter, the constant ratio is called Pi, which is an irrational number shown with this symbol: For example, the circle below has a radius of 4.5 inches.

Step-by-step explanation:

Hope this helps!

Brain-List?

4 0
3 years ago
Other questions:
  • Joseph and his family were going to the beach. Joseph's sister was running late so Joseph left their house with his mom. Joseph'
    6·1 answer
  • 9x7x9x9x7x9in index notation
    12·1 answer
  • Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x +
    15·2 answers
  • How many thousandths in 5.08
    8·1 answer
  • The difference if a number and 6 is -11. What is the number?
    12·1 answer
  • Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The ac
    5·1 answer
  • Please help me i will really appreciate it .
    5·1 answer
  • What is the value of the expression below
    9·1 answer
  • Which algebraic expression is equivalent to the expression below?
    9·2 answers
  • Evaluate 4x + y for x = 5 and y = 4 *<br> please help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!