9514 1404 393
Answer:
A: 144 cm
B: 64 cm
C: 36 cm
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr²h
Solving for h, we get ...
3V/(πr²) = h
Filling in the given values, we get ...
3(192π)/(πr²) = h
576/r² = h
Then the heights of the different cones are ...
A: r = 2, h = 576/4 = 144 . . . cm
B: r = 3, h = 576/9 = 64 . . . cm
C: r = 4, h = 576/16 = 36 . . . cm
Answer:
The original number was 54.5.
Step-by-step explanation:
If a number is increased by 2.8%, then it is 102.8% of it's original number.
In mathematics, "of" in virtually all cases means "multiplied by".
Therefore, we do the opposite:
1. Convert to a decimal.
102.8% = 1.028
2. Divide by the decimal.
3. Round it to the nearest tenth.
54.47 rounds to 54.5.
Step-by-step explanation:
The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
<em><u>Solution:</u></em>
Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin
<em><u>To find: height of each penguin</u></em>
From given question,
Let "e" be the height of emperor penguin
Let "g" be the height of galapagos penguin
Total height of two penguins = 169 centimeter
Therefore,
height of emperor penguin + height of galapagos penguin = 169
e + g = 169 ---- eqn 1
The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin
height of emperor penguin = 22 + 2(height of galapagos penguin)
e = 22 + 2g --- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
g = 169 - e ------- eqn 3
Substitute eqn 3 in eqn 2
e = 22 + 2(169 - e)
e = 22 + 338 - 2e
e + 2e = 360
3e = 360
<h3>e = 120</h3>
Thus from eqn 3,
g = 169 - 120
<h3>g = 49</h3>
Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
