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]
2 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]2 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
Pierre is running 26 and 2/10 miles in the marathon. He has run 3/4 of the way. How far has he run?
Harman [31]
Pierre ran 19 and 13/20 miles.

Given:
marathon length : 26 2/10 miles
pierre's length ran : 3/4 of the way.

Multiply the fractions. 
Convert the marathon length from a mixed fraction into a fraction.
26 2/10 = ((26*10)+2)/10 = (260+2)/10 = 262/10

262/10 * 3/4 = (262*3) / (10*4) = 786/40 = 19 26/40

19 26/40 simplified to 19 13/20 miles

26 ÷ 2 = 13
40 ÷ 2 = 20

3 0
3 years ago
Can someone help me with these ASAP pleassseee!!!
yKpoI14uk [10]

Answer:

A squared+B squared=Csquared

Step-by-step explanation:

Use Pythagorean theorem.

3 0
2 years ago
Read 2 more answers
Which pipe configuration can deliver more water to
Stels [109]

Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)

Step-by-step explanation:

The area of a circle can be calculate with this formula:

A=\pi r^2

Where "r" is the radius of the circle.

We need to calculate the area of 8-cm pipe. In this case:

r=8cm

Then, substituting the radius into the formula, we get:

A=\pi (8cm)^2\\\\A=201.06cm^2

Now we must calculate the area of the two 4-cm pipes.

Since they are two pipes, the formula is:

A=2\pi r^2

In this case:

r=4cm

Then, substituting into the formula, we get:

A=2\pi (4cm)^2\\\\A=100.53cm^2

Therefore, since the area of one 8-cm pipe is greater than the total area of of two 4-cm pipes, we conclude that the pipe configuration that can deliver more water to residents is:

One 8-cm pipe

4 0
3 years ago
What is <br> 4 units left of 0
DanielleElmas [232]
The answer would have to be -4
 
3 0
3 years ago
Read 2 more answers
Which expression can be used to find the area of the composite figure
Charra [1.4K]

Answer:2L times 2W

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Estimate a 15% tip on a dinner bill of $82.73 by first rounding the bill amount to the nearest ten dollars. explain step by step
    7·1 answer
  • How do I name the intersection of two planes?
    6·2 answers
  • What is it 12 - 33/4
    11·1 answer
  • Arrange the numbers in increasing order 5.049, 5.069, 5.49, 5.09
    6·2 answers
  • If an event is very unlikely to occur would it’s probability be zero
    7·1 answer
  • How do the absolute values of -12.5 and 11.5 compare?Chose a symbol to make the sentence true
    15·1 answer
  • Shanti is making a patchwork quilt. Each piece of fabric has a black star on it. She uses the grid shown to plan the locations o
    12·1 answer
  • 7x+4=7x+-4 help pls
    14·1 answer
  • Find the area of the triangle below
    12·1 answer
  • Althea needs <br> 106<br> ounces of coldcuts for a party. How many pounds and ounces does she need?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!