The difference in volumes between cube and cone is 5190.52 cubic units.
<h3>How to find the volume of a cube?</h3>
Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
The height is 20 cm and the radius will be
volume of that cone
= 
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
Learn more about the volume of a cube here:
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1. Add 6x to both sides
-10 > 14 + 2x + 6x
2. Simplify 14 + 2x + 6x to 14 + 8x
-10 > 14 + 8x
3. Subtract 14 from both sides
-10 - 14 > 8x
4. Simplify -10 - 14 to -24
-24 > 8x
5. Divide both sides by 8
- 24/8 > x
6. Simplify 24/8 to 3
-3 > x
7. Switch sides
x < -3
<span>
<u><em>Answer:</em></u>18
<u><em>Explanation:</em></u>To round a number to the nearest whole number, we would check the fraction part:
If the fraction is <u>less than</u> 0.5, then we would simply ignore the fraction
If the fraction is <u>equal to or more than </u>0.5, then we would add 1 to the whole number and eliminate the fraction.
<u>In the given , we have:</u></span>
<span>.
The fraction part is </span>
<span> which is greater than 0.5
This means that we would add one to the whole number (round it up) and eliminate the fraction.
Therefore, the answer would be 18.
Hope this helps :)</span>
Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
