Given:
Volume of the cone = π r² h/3
radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r
V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12
Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height = <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
Answer:
<em>I disagree with both solutions. The value of b that will make the expression correct is -30</em>
Step-by-step explanation:
Given the equation solved my Mai and Tyler expressed as:
2/5 b + 1 = -11
We are to check the veracity of the solutions;
2/5 b + 1 = -11
Subtract 1 from both sides of the expression
2/5 b + 1 -1 = -11-1
2/5 b = -12
Cross multiply
2b = -12 * 5
2b = -60
Divide both sides by 2
2b/2 = -60/2
b = -30
<em>Since the solution b = -25 and -28 does not tally with the gotten solution, I disagree with the both solutions</em>
Answer:
3.285714286
Step-by-step explanation:
Cylinders are 3D figures, as they are solids with volume and take up space.
2D figures are flat figures that you can draw, like a square or circle.
1D figures are actually just a line, a segment, or a point, etc.