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
LenKa [72]
3 years ago
12

This question is worth 50 points, make sure to provide ALL calculations without using a calculator, though.

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

<h2>16 cm</h2>

Step-by-step explanation:

Use the formula for the volume of a cone:

V = (1/3)(area of base / round opening)(height of cone)

In this case we're interested in the following:

(1/3)(area of base / round opening)(height of cone) ≤ 535 cm³

First, mult. both sides by 3 to elim. the fraction 1/3:

(area of base)(height) ≤ 1605 cm³

Since the height is 8 cm, we now have:

(area of base) / (8 cm) = 1605 cm³, or

(area of base) = (1605 cm³) · (8 cm) = 200.625 cm²

The formula for the area of a circle is A = 3.14·r², where r is the radius.

If the area of the base is 200.625 cm², as found above, this equals 3.14r², and so

r² = (200.625 cm²) / (3.14) = 63.89 cm²

Then the radius must be +√63.89 cm, or 8 cm

and the diameter must be 2r = 2(8 cm) = 16 cm.  This would be the largest width of the container.

You might be interested in
Help plz no links will mark brainliest if correct!
BARSIC [14]

Answer:

8

Step-by-step explanation:

Because when you add them you get 2m+8/2m

Which is equal to 8/1 or 8

6 0
2 years ago
Read 2 more answers
The trash can is in the shape of a cylinder that has a radius of 2 ft and a height of 5 feet what is the volume of the trash can
Oliga [24]
Volume of a cylinder is 62.8 cm cubed. Hope this helps!
8 0
2 years ago
Read 2 more answers
A small box can hold 5 chocolates and a big box can hold 12 chocolates. A factory produces 600 chocolates and packs them into bo
stepan [7]

Answer:

Answer to B - 20

480 + 96 = 600

Step-by-step explanation:

12 x 40 = 480

5 x 4 = 20

3 0
3 years ago
In a week karry ran 9.3 miles and Tricia ran 4.4 miles.Use mental math to find how much farther Karry ran than Tricia.Explain ho
sineoko [7]
Karry ran 4.9 miles more than Tricia. I determined the difference but subtracting the miles to see how many more karry ran.<span />
6 0
3 years ago
Read 2 more answers
13.
Andre45 [30]
I think it would be 4 po
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is (2.3x10^-3)/(4.6x10^-7) written in scientific notation? Please show how you solved this.
    11·1 answer
  • Show how square root 5 can be represent on number line?
    6·1 answer
  • A bathtub is filled with 38 1/3 gallons of water. If 2 3/5 gallons splash out, how much water is left in the tube
    5·1 answer
  • Nancy has to cut out circles of diameter 1 3/ 7 cm from an aluminium strip of dimensions 7 1/ 7 cm by 1 3/ 7 cm . How many full
    10·1 answer
  • Graph linear equation with 3 points 4x-2y=6
    15·1 answer
  • Based on experimental data, the function T(x) = -3(x − 4)3 + 10 models the temperature of a special substance after being placed
    6·1 answer
  • Need help on 5 and a and b please help and is c right?
    5·1 answer
  • Marlene earns $12,800 per year. 15% is taken from her earnings for taxes. how much money is paid in taxes? how much money is lef
    7·1 answer
  • Help me with this pls
    6·2 answers
  • Ciara is constructing a tangent line from a point outside the circle as shown. image Which of the following BEST describes the a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!