50 POINTS!!!!A company makes cylindrical cans for peaches. Each can has a radius of 4 centimeters and a height of 12 centimeters. The company plans to increase the
volume of each can by 25%.

a) What will be the height of the new can if the radius remains the same?

b) What will be the radius of the new can if the height remains the same?

Please show your work

Answers

Answer 1

Answer: Volume = πr²h

V = π × 4² × 12
V = π × 16 × 12
V = 192π

Original Volume = 192π

25% = 0.25
0.25 × 192 = 48

New Volume = Old Volume + 25% Old Volume
New Volume = 192π + 48π
New Volume = 240π

25% = 0.25
12 × 0.25 = 3

New Height = Old Height + 25% Old Height
New Height = 12 + 3
New Height = 15

V = πr²h
240π = π × r² × 15
240 = 15r²
16 = r²
√16 = √r²
4 = r

New Radius = 4

Answer 2

Answer: 25% as a decimal is 0.25
multiply 12 and 0.25 12 X 0.25 = 3
add 2 and 3 2+3=5

So that makes the new height 15

the new radius is 4:46

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Which is bigger 0.81 or 0.808
Turn 0.12 to a fraction

A chef prepares apples for a fruit salad. She cuts each apple into 6 slices. The following patterns can be made: Pattern A: start with 1 apple and increase by 1 apple Pattern B: start with 6 slices and increase by 6 slices Which ordered pairs represent the number of apples from Pattern A and the number of apple slices from Pattern B?

Answers

Answer:

A: (1,1)

B: (6,6)

Step-by-step explanation:

Given:

A chef prepares apples for a fruit salad. She cuts each apple into 6 slices.

The following patterns can be made:

Pattern A: start with 1 apple and increase by 1 apple.

Pattern B: start with 6 slices and increase by 6 slices.

To find : ordered pairs which represent the number of apples from Pattern A and the number of apple slices from Pattern B

Solution :

Pattern A:

If a chef starts with one apple then increase by 1 apple then ordered pair which represent this pattern is (1,1)

Pattern B :

If a chef starts start with 6 slices and increase by 6 slices then ordered pair which represent this pattern is (6,6)

a is 1:1 and b is 6:6

Graph this function:
y + 1 = 4(x + 9)

Answers

Answer:

Step-by-step explanation:

Malena swam 918 meters in 3 days.If she swam the same distance each day . How far did Melanie swim in one day?

Answers

Answer:

306

Hope this helped, have a good rest of your day!!:D

Step-by-step explanation:

If I did it right, you divide 918 by 3 and you would get 603... if this is what ypu were looking for.

Final answer:

If Malena swam 918 meters over 3 days with the same distance each day, she swam 306 meters per day.

Explanation:

The solution to this problem involves simple division. The total distance swam by Malena, which is 918 meters, will be divided by the amount of days she spent swimming, which in this case, is 3 days.

So, 918 meters ÷ 3 days = 306 meters/day.

Therefore, "Malena swam 306 meters each day if the distance was distributed equally among the 3 days".