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
8_murik_8 [283]
3 years ago
11

A graphing calculator is recommended. A grain silo consists of a cylindrical main section and a hemispherical roof. If the total

volume of the silo (including the part inside the roof section) is 15,000 ft3 and the cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

11.28 ft

Step-by-step explanation:

The volume of a cylinder can be written as;

Volume V1 = πr^2 h

The volume of an hemisphere can be written as;

Volume V2 = (2/3)πr^3

The total volume of the silo is;

V = V1 + V2

V = πr^2 h + (2/3)πr^3

Given;

Volume of silo V= 15000 ft^3

Height of cylinder part h = 30 ft

Substituting the values;

V = πr^2 h + (2/3)πr^3

15000 = 30πr^2 + (2/3)πr^3

15000/π = 30r^2 + (2/3)r^3

2r^3 + 90r^2 - (15000×3/π) = 0

Solving the equation, we have;

r = 11.28 ft or -15.61 ft or -40.67 ft

Since the radius cannot be negative;

Radius r = 11.28 ft

You might be interested in
Solve for x: x²−9=5(x−3).
IceJOKER [234]

Answer:

Step-by-step explanation:

3 0
3 years ago
Select the equations that are correct.mark all that apply.
allsm [11]

Answer:

17,550÷65=270  Correct

11,196÷12=933  Correct

11,712÷96=122 Correct

Step-by-step explanation:

17,550÷65=270  Correct

11,196÷12=933  Correct

29,365÷35=677  Incorrect

11,712÷96=122 Correct

4 0
3 years ago
I need help now it’s an iready
timurjin [86]

Answer:

It should be 147

Step-by-step explanation:

4 0
3 years ago
60 POINTS PLEASE HURRY!!
g100num [7]

Answer:

A. Rashid solved the problem correctly.

7 0
3 years ago
Read 2 more answers
Je Senah
ss7ja [257]

Answer:

B (1,0)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Factor the expression. k2 + kf – 2f2
    5·2 answers
  • Will give Brainliest! if right!
    6·1 answer
  • Identify the vertical angles in the figure*<br> Please help ASAP!
    7·2 answers
  • the cost of a pen is 3 times the cost of a pencil and cost of a notebooks is four times that of a pen. If the cost of 6 pencils,
    6·2 answers
  • PLS HELP, RLY URGENT
    15·1 answer
  • *<br> Find the area of a triangle: Base of 8 cm Hight of 9 cm
    11·1 answer
  • Write the equation of the line that passes through the points (0,–2) and (4,5). Put
    14·1 answer
  • On Saturday Keisha ran 2.421 kilometers. On Sunday she ran 1.53 kilometers.
    5·1 answer
  • PLEASE HELP ME THANKS SO Much
    9·1 answer
  • SOMEONE ANSWER HURRY PLEASE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!