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
Hoochie [10]
3 years ago
9

A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 101 feet and the radius o

f the hemisphere is r feet. Express the volume of the silo as a function of r.
Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

V(r) =101\pi r^2 + \frac{2}{3}\pi r^3

Step-by-step explanation:

Given

Shapes: cylinder and hemisphere

h = 101 --- height of cylinder

Required

The volume of the silo

The volume is calculated as:

Volume (V) = Volume of cylinder (V1) + Volume of hemisphere (V2)

So, we have:

V_1 = \pi r^2h

V_1 = \pi r^2 * 101

V_1 = 101\pi r^2 --- cylinder

V_2 = \frac{2}{3}\pi r^3 ---- hemisphere

So, the volume of the silo is:

V =V_1 + V_2

V =101\pi r^2 + \frac{2}{3}\pi r^3

Write as a function

V(r) =101\pi r^2 + \frac{2}{3}\pi r^3

Where: \pi = \frac{22}{7}

You might be interested in
Three sides of a kite measure 8 inches, 10 inches, and 8 inches. What is the perimeter of the kite?
olganol [36]

Answer:

26

Step-by-step explanation:

8+10+8=26

3 0
2 years ago
A rectangular prism has a length of 4.5 cm, a width of 10 cm, and a height of 2.5 cm. What is the volume of the prism?
ruslelena [56]

Answer: 112.5 cm3

Hope that helped!

5 0
3 years ago
How many pickle servings can be made from a jar of 15 pickles
Rom4ik [11]
Answer :

15 ( theres 15 pickles so you can serve a pickle 15 times )
6 0
3 years ago
Need help with question 2
yuradex [85]
1,5,8 would be the correct answer
8 0
3 years ago
Read 2 more answers
Find the area of the figure
Pavlova-9 [17]
Triangle
1+1+5=7
7×4=28
28÷2=12

rectangle
12×5=60

whole shape
60+12=72in squared
3 0
3 years ago
Other questions:
  • 3(-2x-7)=15 please show the work
    12·1 answer
  • Select all the perfect squares.<br> 9<br> 41<br> 81<br> 144<br> 150
    12·1 answer
  • Find the average of these numbers. 23, 24, 27, 25, 26, 23, 21, 32, 29, 30
    15·2 answers
  • What's the w for sin w=1/7?!
    11·1 answer
  • Find the LCM of a(a+b)-b(b+c)-c(a+c) and c(b+c)-a(a+c)<br>​
    9·1 answer
  • HELP PLEASE!!Which of the following is an asymptote for the graph below?
    10·1 answer
  • Cos(0.5)+cos(0.5+2(3.14159265))+cos(0.5+4(3.14159265))
    8·1 answer
  • Correct Answer gets brain listed Write an equation (DO NOT SOLVE) that represents symbolic language (USE VARIABLES) for the foll
    9·1 answer
  • Question 2: What is the volume of this prism?
    13·1 answer
  • Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers ea
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!