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Phantasy [73]
3 years ago
8

The diameter and height of this cylinder are equal to the side length,S,of the cube in which the cylinder is imscribed. What is

the expression for the cylinder's volume?
Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0
V=B\times H
V=\pi r^{2}h
V=\pi (\frac{d}{2})^{2}h
V=\pi (\frac{s}{2})^{2}s
V=\pi (\frac{s^{2}}{4})s
V=\frac{\pi s^{3}}{4}
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Given the system of equations:
kolezko [41]
2x=16-2y
x=8-y

6(8-y)+4y=38
48-6y+4y=38
48-2y=38
-2y=-10
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4 0
3 years ago
PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the
drek231 [11]

Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1

6 0
3 years ago
HELP ME PLS?? <br> 2 divided by 1/2= ??
Gennadij [26K]
The answer is 4
Because 0.5 times 4 is 2
5 0
3 years ago
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If one leg of a right triangle is 40 units and the other leg is 30 units, what is the length of the hypotenuse (in units)?
olchik [2.2K]

Answer:

20 or 50 units

Step-by-step explanation:

6 0
2 years ago
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what is thelenght and width of a rectangle that had an area of 18 square Ubuntu and a perimeter of 18 units ?
Kazeer [188]

Answer:

Length=6

Width=3

Step-by-step explanation:

Area:L*W

Area= 6*3=18

Perimeter: 2 (L+W)

Perimeter= 2 (6+3)= 12+6=18

6 0
3 years ago
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