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
yan [13]
2 years ago
15

The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 fee

t wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.
To the nearest cubic foot, what is the volume of the greenhouse?
Mathematics
1 answer:
svet-max [94.6K]2 years ago
3 0

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

<h3>What is volume?</h3>

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Find out more on volume at: brainly.com/question/12410983

You might be interested in
The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
3 years ago
Factor completely 5x2 − 5x − 100.
Rama09 [41]
First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)
4 0
3 years ago
Help, write equation for graph
Crazy boy [7]

Answer:

f(x)=(x-1)^2 -4

Step-by-step explanation:

use vertex form

4 0
3 years ago
Which of the following represents "the difference between a number and eight is twenty-two"?
azamat
Both of the first 8 - N = 22 N - 8 = 22 Represent the difference between a number and 8 is 22 as it is not mentioned that either 8 or the unknown number N is greater so both of the first two represent the difference between a number and 8 is twenty two.
4 0
3 years ago
Read 2 more answers
is there really a 2000 average of 3 out of 5 doctors use the brand name and how many doctors use the exact brand aspirin
sukhopar [10]
3/5 * 2000 = 1200. Hope this helped
3 0
3 years ago
Read 2 more answers
Other questions:
  • A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty
    14·1 answer
  • Use Euler's formula to find the missing number.
    6·2 answers
  • Find k so that the distance from (–1, 1) to (2, k) is 5 units.
    13·1 answer
  • Eleven more than a number sqaured, decreased by six
    8·1 answer
  • 3.
    11·1 answer
  • Im a bit rusty on my graphing plz help me<br><br> which do you graph first x line or y line
    7·2 answers
  • Calculate the m angle CLA , given m arc AC = 160° and m arc AKC = 200°.
    7·2 answers
  • Help me please please
    5·1 answer
  • Today, everything at a store is on sale. The store offers a 40% discount. The discount price of a hat is $22. What is the regula
    6·1 answer
  • I struggled with these as u can see, but pls answer all 3 questions and show how you set all the problems up (ill be giving brai
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!