The volume formula for a cone is V = 1/3 pi r^2 h. We have everything we need to find the volume. V = 1/3 pi 28^2* 44. Doing that math and leaving it in terms of pi you have that the volume is 11,498.67 pi units cubed. If you multiply pi in, the answer would be 36,123.06 units cubed.

4 0

3 years ago

Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so

Fofino [41]

Answer:

33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .

25% is the percent of the total amount Tom caught.

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ values}$

Part First

As given

Tom caught 4 fish and his son caught 12 fish.

Here

Part value = 4

Total value = 12

Put in the formula

$Percentage = \frac{4\times 100}{12}$

$Percentage = \frac{400}{12}$

Percentage = 33.3 % (Approx)

Therefore the 33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .

Second Part

As given

Tom caught 4 fish and his son caught 12 fish.

Total number of fish caught = 4 + 12

= 16

Part value = 4

Total value = 16

Put in the formula

$Percentage = \frac{4\times 100}{16}$

$Percentage = \frac{400}{16}$

Percentage = 25%

Therefore the 25% is the percent of the total amount Tom caught.

8 0

3 years ago

How many solutions does the system have?

tangare [24]

Answer: 2

Step-by-step explanation:

You are not really asked how to find the solutions, just how many there are. The easiest way to solve this is to use a program like Desmos and graph the question. I have done this for you.

Red: line -2x + 1

Blue: quadratic y = -2x^2 + 1

Answer: 2

4 0

3 years ago

The rate at which a duck gains weight is proportional to the difference between its adult weight and its current weight. At time

kogti [31]

DB/dt = 1/5(100 - B)
5/(100 - B) dB = dt
-5 ln (100 - B) = t + C
Since B(0) = 20, then
-5 ln (100 - 20) = C
i.e. C = -5 ln 80

Thus -5 ln (100 - B) = t - 5 ln 80
or t = 5 ln 80 - 5 ln (100 - B) = 5 ln (80 / (100 - B))

When the weight = 40 grams
t = 5 In (80 / 100 - 40) = 5 In (80 / 60) = 5 ln (4/3) = 1.438 days
Rate of weight gain = 40 / 1.438 = 27.8 grams per day

When the weight = 70 grams
t = 5 ln (80 / 100 - 70) = 5 ln (80 / 30) = 5 ln (8/3) = 4.9 days
Rate of weight gain = 70/4.9 = 14.27 grams per day.

Therefore, the duck gains weight faster when it weighs 40 grams.

6 0

3 years ago