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
Oxana [17]
3 years ago
9

The diagram shows a solid formed by joining a hemisphere, of radius rcm, to a cylinder, of radius rcm and height hcm. The total

height of the solid is 18 cm and the surface area is 205pie cm? Find the value of r and the value of h cm
Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

Step-by-step explanation:

The total surface area of the sphere = 2πr²

Total surface area of the cylinder = 2πr²+2πrh

Total surface area of the solid = 4πr²+2πrh

r is the radius of the sphere and the cylinder

h is the height of the cylinder

Total surface area of the solid = 2πr(r+h)

If the total height of the solid is 18 cm, then r+h = 18cm

Given the Total surface area of the solid = 205π cm

205π = 2πr(r+h)

205π = 2πr(18)

205π = 36πr

205 = 36r

Divide both sides by 36

205/36 = 36r/36

r = 5.69cm

Since  r+h = 18cm

5.69+h = 18

h = 18-5.69

h = 12.31cm

You might be interested in
Find the common ratio and the explicit formula <br><br>-3, 9, -27, 81,​
Fofino [41]

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

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

where re a is the first term and r the common ratio

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio

and a = - 3, thus

[te x]a_{n}[/tex] = - 3(-3)^{n-1} ← explicit formula

6 0
3 years ago
Bag a contains 4 red and 3 blue tickets. bag b contains 3 red and 1 blue ticket. a bag is randomly selected by tossing a coin an
nikdorinn [45]
It's difficult to draw a tree diagram with this software.
Try to do it yourself & you will find the followings:

If A is selected (P(A) =1/2) we can get ether red (p(A & red)=4/7
so P(A∩red)= 1/2 x 4/7 = 4/14
Also we can get P(blue) = 3/7   & P(A∩blue) = 1/2 x 3/7 = 3/14

Same reasoning for B & you will get P(B∩read) 1/2 x 3/4 = 3/8
Also we can get  P(B∩blue) = 1/2 x 1/4 = 1/8
Probability of blues is either 3/14 or 1/8
P(blue) = 3/8 +1/8 =19/56 = 0.339
6 0
3 years ago
IM NOT DONE YET PEOPLE!!!!!!!!!!!!!!!11111
Fittoniya [83]

Answer:

wymmmmm fam :|

Step-by-step explanation:

5 0
3 years ago
a fish tank is 50 cm long, 30 cm wide, and 40 cm high. It contains water up to a height of 28 cm. How many more cubic centimeter
leva [86]
Surface area = 50 x 30 = 150
Per cm of height 150 cubic cm needed
7cm height needed
150 x 7 = 1050 cubic cm needed
6 0
3 years ago
Kim knows she should keep her fat intake to less than 130 grams per day if on a 4,000 calorie diet. She is on a 1,500 calorie pe
evablogger [386]
130/4000 = 13/400

13/400 = 0.0325

= 3.25%

Soo.. 3.25% of 1500 is your answer 

This is how I find percentages..
10% of 1500 = 150
So 5% of 1500 = 75
So 2.5% of 1500 = 37.5

since you are looking for 3.25%, find an answer in between 37.5 and 75, eliminating all answers but C.

The answer is C = 48.7567 grams

4 0
3 years ago
Read 2 more answers
Other questions:
  • If f(x) = 4x - 20, what is f(4)?<br> O A. -12<br> O B. 4<br> O C. 16<br> O D.-4
    8·2 answers
  • Molten lava 50-feet thick cools at a rate of about 20 degrees Fahrenheit per month. What is the overall change in temperature of
    14·2 answers
  • draw a strip diagram to Model 5 hours 8 minutes minus 3 hours 12 minutes write an equation to find the difference
    15·1 answer
  • (+30) + (+43)<br><img src="https://tex.z-dn.net/?f=%20-%2084%20%2B%20%20%2B%2021" id="TexFormula1" title=" - 84 + + 21" alt=" -
    14·1 answer
  • I’m having trouble on 10-11, if you can find the answer. Thank you!
    10·1 answer
  • In a population of 10,000 geese the growth rate is 4% per year. What is the total increase in population over 4 years? Round you
    6·2 answers
  • Carlos went to buy a television the same size as his friend’s. When he got to the store, he found that televisions are measured
    9·2 answers
  • Select three ratios that are equivalent to 16: 12.
    13·2 answers
  • 20 points picture problem​
    6·2 answers
  • Solve for X I need help please
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!