The height of the cone 4 inches.
Step-by-step explanation:
Given,
Volume of cylinder and cone is same.
For cylinder
Radius (r) = 2 inches
Height (h) = 3 inches
For cone
Radius (r) = 3 inches
To find the height of cone say H
Formula:
Volume of cylinder = π![r^{2} h](https://tex.z-dn.net/?f=r%5E%7B2%7D%20h)
Volume of cone =
π![r^{2} h](https://tex.z-dn.net/?f=r%5E%7B2%7D%20h)
According to the problem,
π
=
π![3^{2} H](https://tex.z-dn.net/?f=3%5E%7B2%7D%20H)
or, H = ![\frac{3X2^{2}X3 }{3^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B3X2%5E%7B2%7DX3%20%7D%7B3%5E%7B2%7D%20%7D)
or, H = 4
Hence,
The height of the cone 4 inches.
The shorter piece is 3/10 of the 1.5m long piece of wood.
1.5/10=0.15
0.15*3=0.45
The shorter piece is 0.45m or 45cm long.
Hope this helps :)
Answer:
625
Step-by-step explanation:
The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.
Answer:
x = 5
Step-by-step explanation:
The line segment divides the sides in proportion, that is
=
( cross- multiply )
10(2x - 3) = 14x ← distribute left side
20x - 30 = 14x ( subtract 14x from both sides )
6x - 30 = 0 ( add 30 to both sides )
6x = 30 ( divide both sides by 6 )
x = 5
Answer: Yes
The point (-8,4) makes the inequality
true
==================================================
Explanation:
We have x = -8 and y = 4 pair up together due to the point (x,y) = (-8,4).
Let's plug these values into the inequality
![11x + 2y \le 19\\\\11(-8) + 2(4) \le 19\\\\-88+8 \le 19\\\\-80 \le 19\\\\](https://tex.z-dn.net/?f=11x%20%2B%202y%20%5Cle%2019%5C%5C%5C%5C11%28-8%29%20%2B%202%284%29%20%5Cle%2019%5C%5C%5C%5C-88%2B8%20%5Cle%2019%5C%5C%5C%5C-80%20%5Cle%2019%5C%5C%5C%5C)
The last inequality is true because -80 is to the left of 19 on the number line. So -80 is smaller than 19.
Since the last inequality is true, this means the first inequality is true when (x,y) = (-8,4).