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
Leya [2.2K]
2 years ago
8

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius

holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
8 0

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

You might be interested in
Can someone please check if this is correct?
Solnce55 [7]

Answer:

Just two corrections!  See attached image.

Step-by-step explanation:

The product of 8 and b taken <u>from</u> 10 means begin with 10 and subtract 8b from it.

8 times the difference of 10 and b means find 10 - b first, <u>then</u> multiply by 8.

7 0
2 years ago
PLEASE HELP ! Suppose another company offers a special
kolezko [41]

The special is cheaper than Bella's price. Then the correct option is B.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Suppose another company offers a special banquet price of $4,000 for 150 people.

Then the special is cheaper than Bella's price.

Then the correct option is B.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

5 0
1 year ago
GEOMETRY PLZZZZZ HELPPPPP
USPshnik [31]

Answer:

(x,y) becomes (-y,x) so (3,2) would become (-2,3)

3 0
2 years ago
Pls help!
Ludmilka [50]

Answer:

A)200%

B)I dont know sorry

C) 57.14. Not sure tho

Hope they are correct

6 0
2 years ago
Please help me. look at the picture.
Butoxors [25]
It’s 0.775x +2.5 =correct
6 0
2 years ago
Other questions:
  • Assume that a researcher randomly selects 14 newborn babies and counts the number of girlsâ selected, x. the probabilities corre
    9·1 answer
  • The heights of the children at a summer camp are normally distributed with a mean of 54 inches and a standard deviation of 2.4 i
    10·2 answers
  • How do you write 22.128 in expanded fraction form and decimal form
    9·2 answers
  • Can someone please help me?​
    7·1 answer
  • Shadow that is 24 meters long. How tall is the building?
    11·2 answers
  • Enter the number in standard notation.<br> 8.026 x 10-6 =<br> What is the answer?
    7·1 answer
  • A kite is flying on 39 feet of string. How high is it above the ground if it’s height is 22 feet more than the horizons distance
    7·1 answer
  • A wise man once said "300 reduced by 3 times my age is 138"
    14·1 answer
  • Use the table to write a proportion
    8·1 answer
  • What is the solution for this system x+y=6 2x+4y=20
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!