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
andrew-mc [135]
3 years ago
6

What is the height of the cone if a metal sphere of radius 4m is melted to form a cone of base 5m?​

Mathematics
1 answer:
sweet [91]3 years ago
6 0

9514 1404 393

Answer:

  10.24 m

Step-by-step explanation:

The volume formulas for the figures are ...

  • V = 4/3πr³ . . . sphere
  • V = 1/3πr²h . . . cone

You can fill in the given radii and set the volumes equal:

  4/3π(4 m)³ = 1/3π(5 m)²h

  h = (4^4)/(5^2) m . . . . . divide by the coefficient of h

  h = 10.24 m

The height of the cone is 10.24 meters.

You might be interested in
11m-14&lt;7m+14 work out<br>​
mixas84 [53]

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

7 0
3 years ago
Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per we
Bezzdna [24]

Answer:

$1,000

Step-by-step explanation:

Given that:

Charge per car = $8.50

Averahe car washed per weekend = 22

Using front end estimation, how much will business earn in 5 weeks ;

Hence amount earned per weekend :

22 * $8.50 = $187

Using front end estimation :

$187 - - -> $200

$200 * number of weeks

($200 * 5) = $1,000

7 0
3 years ago
A music club has 35 drum players. If 25% of the total number of members in the club are drum players, what is the total number o
Pachacha [2.7K]

Answer:

140

Step-by-step explanation:

Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.

3 0
3 years ago
How is (or how can you make) y/(1-x) equal to (1+x)/y
Musya8 [376]
I hope this helps you

4 0
3 years ago
Jedes mum buys a pack of 6 kiwi fruit. They cost 1.32 .how much does each kiwi fruit cost
Sonja [21]
The answer is: $0.22 

Just divide :)

Hope this helps!
3 0
3 years ago
Other questions:
  • A pizza shop has available toppings of bacon, pepperoni, sausage, olives, peppers, anchovies, onions and mushrooms. How many dif
    6·1 answer
  • Clark has 7 1/2 feet of wire. How many 3/4 pieces can Clark cut from the 7 1/2 feet of wire? Show your work.
    15·2 answers
  • Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points)
    10·2 answers
  • Which is the equation of an asymptote of the hyperbola whose equation is
    9·2 answers
  • Helpppppp plsssssssss
    13·1 answer
  • Consider all the points in the plane that solve the equation <img src="https://tex.z-dn.net/?f=%24x%5E2%20%2B%202y%5E2%20%3D%201
    12·1 answer
  • If h(x) = 3x + 4, what is h(2x - 3)?
    9·1 answer
  • If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs? No links Pls
    12·1 answer
  • 10 cm<br> 15 cm<br> 6 cm<br> What is the total surface area of the prism in square centimeters?
    7·1 answer
  • Indicate below wether the equation in the box is true or false 6/12= 1/3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!