SOLUTION:
Case: Volume of Sphere
Method:
a) The volume of a sphere whose diameter, d= 28in
The radius,
r= 28/2
r= 14 in
The Volume, therefore:
b) When half of the volume is used,
c) The radius of the halved volume
![\begin{gathered} V=\frac{4}{3}\pi r^3 \\ 5747.02=\frac{4}{3}\pi r^3 \\ r^3=\frac{3\times5747.02}{4\pi} \\ r^3=1372 \\ r=\sqrt[3]{1372} \\ r=11.11\text{ }inches \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%5C%5C%205747.02%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%5C%5C%20r%5E3%3D%5Cfrac%7B3%5Ctimes5747.02%7D%7B4%5Cpi%7D%20%5C%5C%20r%5E3%3D1372%20%5C%5C%20r%3D%5Csqrt%5B3%5D%7B1372%7D%20%5C%5C%20r%3D11.11%5Ctext%7B%20%7Dinches%20%5Cend%7Bgathered%7D)
Final answer: (To 2 d.p)
a) 11494.04 cubic inches
b) 5747.02 cubic inches
c) 11.11 inches
Step-by-step explanation:
by having two equations that have the same point, you can set the two equations equal to each other
y = 12x + 3, y = x + 1
12x + 3 = x + 1
11x = -2
x = -2/11
when you find the the x value, plug it back into either one of the equations
y = x + 1
y = (-2/11) + 1
y = 11/11 - 2/11
y = 9/11
the point (solution):
(-2/11, 9/11)
Answer:
8p -9
Step-by-step explanation:
5p+3p+(-9)
Combine like terms
8p -9
Answer:
Number 1
Step-by-step explanation:
Because the absolute Value of A is less then the value of B
Answer:
Cannot see the picture sorry my guy
Step-by-step explanation:
