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
Anarel [89]
3 years ago
7

Evelyn's made a cake in the shape of a circus tent the cake consisted of a cylinder and a cone .The height of the cone is half t

he height of the cylinder.The volume of the cake is 1470in3. The diameter of the cylinder is 12 in. What is the volume of the circus tent cake? Use 3.14 for pi. Round to the hundredth . Show your work. Would you Please Help Me
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
6 0
The volume of the cake is 1470 in³. 
volume of a cylinder = πr² x height
(Think about how a cylinder is basically a bunch of circles stacked on top of each other. To find the volume, first you need the area of the circle (πr², then you multiply by how many circles you are stacking on top of each other (height)) 

we know the diameter of the cylinder is 12 in. and the radius is half of the diameter. 
half of 12 is 6, therefore the radius is 6 in. or r = 6 
Assuming pi is 3.14, solve for the height of the cylinder
1470 = (3.14)(6²)(height)
1470 = 3.14 x 36 x height
1470 = 113.04 x height
height ≈ 13 in

Now that we know the height of the cylinder is about 13 in., we know the height of the cone, because the problem says that the height of the cone is half the height of the cylinder. 
half of 13 is 6.5, therefore the height of the cone is 6.5 
the radius of the cone is the same as that of the cylinder, 6 in. 

volume of a cone = πr² × (height ÷ 3)

volume of the cone = (3.14)(6²)(6.5 ÷ 3)
volume of the cone = (3.14)(36)(2.16666)
volume of the cone = 244.92 in³

Now all that's left to find the volume of the whole cake is to add the volume of the cylinder to the volume of the cone. 

1470 + 244.92 = 1714.92 in³



You might be interested in
Can somebody help me please
mote1985 [20]

Answer:

c and a

Step-by-step explanation:

the simple logistics would make it equal those 2 answers

5 0
3 years ago
F(n)=5.(-2)n-1<br>Complete the recursive formula of f(n).​
Alex73 [517]

Answer:

a(n) = (-2)(a_{n-1})

a_{1}=5

Step-by-step explanation:

The given expression is in the form of the explicit formula of a geometric sequence.

f(n) = a(r)^{n-1}

Where 'a' = First term of the sequence

r = common ratio

Recursive formula of a geometric sequence is,

a(n) = (a_{n-1}).(r)^{n-1}

a(n) = (-2)(a_{n-1})

Where, a_{1}=5

So the recursive formula will be a(n) = (-2)(a_{n-1})

6 0
3 years ago
Yeah I need help…..<br> Do your work soldiers
Aloiza [94]

I can’t, sir! I cannot leave my post to help with your math problems, over!

8 0
2 years ago
Read 2 more answers
Evaluate the expression when a=14 and b=6. 5b/32a2
leonid [27]

Answer:

28/16071  as a decimal 0.00174226...

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
-1 2/3÷(-2 1/5)= in simplest form
soldi70 [24.7K]
> -1 2/3 ÷ (-2 1/5)
> -1.66.. ÷ -2.2
> 0.75454...

Answer: 0.75
4 0
3 years ago
Other questions:
  • Trey’s grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed f
    7·1 answer
  • Suppose fifty students take at least one class from Mr. Green, who teaches band,
    9·1 answer
  • HELP PLEASE ASAP!!!! 20 POINTS!!!!
    14·1 answer
  • Hey so I just ordered Pizza Hut it was 7 dollars how much should I tip.
    5·2 answers
  • PLEASE HELP MEEEEEEE
    12·1 answer
  • At Camille's Hats, 70% of the hats in the store are baseball caps. If there are 28 baseball caps, how many hats are in the store
    9·2 answers
  • What is the image of segment bc after a reflection over line FC
    13·2 answers
  • Yeah just yeah i need help-
    15·2 answers
  • Yesterday, Katrina was just $23.75 below her fundraising goal. She got a check today for $12.33 to put toward the fundraiser. De
    12·1 answer
  • HELP PLEASE!! i need help finding the mean!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!