Answer:
<h3>19,133.067</h3>
Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
12,500 x 1.79 to find the price but 16,000 - 12,500 to get how many were left.
12,500 x 1.79 = $22,375 that they made from selling. 16,000 - 12,500 = 3,500 rolls left in the inventory. This question confused me so I just gave both answers.
Answer:
i. No, Maurice statement is wrong.
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width.
Since the piece of wood has a shape of a rectangle,
the area of the piece of wood = length × width
= 18 × 12
= 216 square inches
According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.
The base has the shape of a square, so that;
the area of the base = length × width = 
= 1012 ×1012
= 1024144 squared inches
This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
Answer:
y = -2x + 7 and y = x - 2
Step-by-step explanation:
2x + y = 7
y = -2x +7
x - y = 2
-y = -x +2
y = x - 2
Answer:
3.627 = d
Step-by-step explanation:
C = 11.4mm
d = ?
C = πd
11.4 = 22/7 × d
cross multiply
11.4 ×7 = 22d
79.8 = 22d
Divide both sides of the equation b 22
79.8/22 = 22d/22
3.627 = d