Answer:
Exact form: 11/125
Decimal Form: 0.088
Step-by-step explanation:
Answer:
Option a (110 cubic inches) is the right solution.
Step-by-step explanation:
Given:
Diameter of cylinder,
= 8 inches
Radius,
= 4 inches
Now,
The volume of space will be:
= ![Volume \ of \ cube - Volume \ of \ cylinder](https://tex.z-dn.net/?f=Volume%20%5C%20of%20%5C%20cube%20-%20Volume%20%5C%20of%20%5C%20cylinder)
= ![(Side)^3 - \pi r^2 h](https://tex.z-dn.net/?f=%28Side%29%5E3%20-%20%5Cpi%20r%5E2%20h)
= ![(8)^3 - \frac{22}{7}\times (4)^2\times 8](https://tex.z-dn.net/?f=%288%29%5E3%20-%20%5Cfrac%7B22%7D%7B7%7D%5Ctimes%20%284%29%5E2%5Ctimes%208)
= ![512-\frac{22}{7}\times 128](https://tex.z-dn.net/?f=512-%5Cfrac%7B22%7D%7B7%7D%5Ctimes%20128)
= ![512-4.0](https://tex.z-dn.net/?f=512-4.0)
= ![110 \ cubic \ inches](https://tex.z-dn.net/?f=110%20%5C%20cubic%20%5C%20inches)
Ok use a calculator and do 11 x 11 x 4 then 7 x 7 x 4 and add the products
Answer:
156° and 24°
Step-by-step explanation:
Let it's supplementary angle be x.
So, the angle = (x - 132)°
As we know, sum of supplementary angles is 180°;
x + x - 132 = 180
2x = 180 + 132
2x = 312
x = 312/2
x = 156°
(x-132)° = (156-132)° = 24°
Hence, the angles are 156° and 24°.