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
sesenic [268]
3 years ago
12

Find the missing measure for a right circular cone given the following information. Find r if T.A. = 12pi and L.A. = 8pi

Mathematics
2 answers:
Schach [20]3 years ago
6 0
ARea of base  = TA - LA = 4pi

pi r^2 = 4 pi  where r is radius of base.

r^2  = 4

so r = 2  Answer
Scrat [10]3 years ago
4 0

Answer:

r = 2 units

Step-by-step explanation:

Total area(T.A) of the circular cone is given by:

\text{T.A} =\pi r^2+ \pi r\sqrt{r^2+h^2}

Lateral surface area(L.A) of the circular cone:

\text{L.A} = \pi r\sqrt{r^2+h^2}

where

r is the radius and h is the height of the circular cone.

As per the statement:

T.A = 12 \pi and L.A = 8 \pi

then;

T.A -L.A = \pi r^2+ \pi r\sqrt{r^2+h^2}-\pi r\sqrt{r^2+h^2}

⇒12 \pi -8 \pi = \pi r^2

⇒4 \pi =\pi r^2

Divide both sides by \pi we have;

4 =r^2

or

r^2 = 4

⇒r= \pm\sqrt{4} =\pm 2

r cannot be in negative

⇒r = 2 units

Therefore, radius of the circular cone is, r = 2 units

You might be interested in
Please help <br><br><br> Vghjhjbjbjbjh
timofeeve [1]

Answer:

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Elise does not like sorbet, so she omits that ingredient and adds 5 percent of each of the other ingredients. How many cups of p
vova2212 [387]

Answer:

20 cups

Step-by-step explanation:


3 0
4 years ago
What is a number that multiplies to 168 and also subtracts to 2?
Degger [83]

Answer: the number is 1

assume the number to be x. so according to the question

2 x a number is subtracted from 7 and the result is 5

the equation will be:

7-2x=5

now we have to solve for x

7-2x=5

2x=7-5

2x=2

x=1

hopefully this helped you()

Step-by-step explanation:

5 0
3 years ago
Help!!!!!!!!!!!!!!!!
pashok25 [27]

Answer:

If the input is n then the output f(n) will be 4n - 8.

Step-by-step explanation:

Let the input of the function is denoted by x and the output is denoted by y.

Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).

Therefore, the relation between x and y i.e. the equation of the straight line will be given by

\frac{y - 4}{4 - 0} = \frac{x - 3}{3 - 2}

⇒ y - 4 = 4(x - 3)

⇒ y = 4x - 8

⇒ f(x) = 4x - 8

Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)

6 0
3 years ago
A scientist placed fish eggs in a tank. Each day, twice the number of eggs from the previous day hatch. The expression 5 times 2
kykrilka [37]

Answer:  The answer is 20 eggs.


Step-by-step explanation:  Given that a scientist placed fish eggs in a tank. Also, each day, twice the number of eggs from the previous day hatch, .i.e, if 'x' number of eggs hatch on first day, then '2x' number of eggs will hatch on the second day.

The number of eggs that hatch on the sixth day is given by 5 times 2 to the second power.

So, the number of eggs got hatch on the sixth day is

E_6=5\times 2^2=5\times 4=20.

Thus, the answer is 20 eggs.


3 0
3 years ago
Read 2 more answers
Other questions:
  • Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Triangles H K J and L N P are shown. Trian
    9·1 answer
  • Write an equation in slope-intercept form for the line passing through the pair of points. (-2, -5), (6, -1)
    15·1 answer
  • 5x - 8 = -6x - 10. solve for x.
    12·2 answers
  • Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped bin has
    8·1 answer
  • Olivis baked 53 loaves of banana bread to be sliced for snacks at a craft fair. she will place an equal number of loaves in 6 di
    13·1 answer
  • Use the law of sines to solve the triangle B=31, C=104, a=3(5/8)m
    13·1 answer
  • What is the rule (0,0),(1,4),(2,16),(3,36),(4,64)
    14·2 answers
  • ANSWER ASAP
    10·1 answer
  • Express 10 2/3 in simplest radical form
    13·1 answer
  • Please someone help ASAP ill mark brainliest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!