answer.
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
marissa [1.9K]
2 years ago
5

Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?

(Hint: only enter numerals in the answer blank).
Mathematics
2 answers:
Tomtit [17]2 years ago
5 0
First we need to find the heigh of the soda can be rearanging the volume formula, V = pi * r^2* h. We can make that h =  \frac{V}{pi * r^2} We know that V is 36 and radius is half of the diameter, so radius is 2. h =  \frac{36}{pi * 2^2}
h =  \frac{36}{pi * 4}
h = 2.87

Now, we can use the height to figure out the volume of a cone. The volume of a cone is V = pi * r^2 *  \frac{h}{3}
R is 2 again and h is 2.87
V = pi * 2^2 *  \frac{2.87}{3}
pi * 4 * .96
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
Gelneren [198K]2 years ago
5 0

For this case what we should do is model the soda can as a cylinder.

We have then:

V = \pi * r ^ 2 * h

Where,

r: can radius

h: height of the can

From here, we clear the value of the height:

h = \frac{V}{\pi * r ^ 2}

Substituting values we have:

h = \frac{36}{\pi * 2 ^ 2}\\h = 2.87

We are now looking for the volume of the cone.

We have then:

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

Substituting values we have:

V = (1/3) * (\pi) * (2 ^ 2) * (2.87)\\V = 12.02

Answer:

the volume of a cone that fits perfectly inside the soda can is:

V = 12.02

You might be interested in
Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the
SOVA2 [1]

Answer:

2\pi \approx 6.28\ meters

Step-by-step explanation:

Mei's horse is 3 meters from the center of the carousel. After one rotation, Mei travelled

l_M=2\pi r=2\pi \cdot 3=6\pi\ meters

Anju's horse is 2 meters from the center. After one rotation, Mei travelled

l_A=2\pi r=2\pi \cdot 2=4\pi\ meters

The difference in their travelled distances is

l_M-l_A=6\pi -4\pi =2\pi \approx 6.28\ meters

5 0
2 years ago
Read 2 more answers
The base of a triangle measures 8 inches and the area is 136 square inches what is the height of the triangle
Mariana [72]

Answer:

34 inches

Step-by-step explanation:

Area is base times height time half

Then plug in the values: 136= 0.5 x 8x

Then solve for x

7 0
2 years ago
Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
irakobra [83]

Answer:

24.5 points

8 points

Step-by-step explanation:

khan academy

7 0
2 years ago
In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of thes
kolbaska11 [484]

Answer: B

Step-by-step explanation:

The sampling distribution of the proportion of damaged trees is approximately Normal

7 0
2 years ago
Read 2 more answers
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 i
zimovet [89]

Answer:

Step-by-step explanation:

The square root of 20 is √(2 * 2 * 5) which is 2√5  Not so

√5 does not terminate and there is no pattern to the decimal. √5 is irrational.

Neither one is correct.

8 0
2 years ago
Other questions:
  • What is the relation between the sine and cosine values of angles in each quadrant? How would you use the 60° angle to find sine
    10·1 answer
  • What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?
    13·2 answers
  • Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?
    15·1 answer
  • Grant is rolling a standard six sided number die eight times. how many outcomes are possible
    9·2 answers
  • A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estim
    13·1 answer
  • ​ At the end of the first school day, Mr. Davies, a first grade teacher, inspected his classroom crayons. 2 of the 200 crayons w
    12·2 answers
  • After triangle ace is dilated by a factor of 5, it has an area of 100 square inches. What was its area before dilation?
    13·1 answer
  • Including Jose, there are eight people in his family.
    12·2 answers
  • Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFracti
    15·2 answers
  • On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!