Answer:
2,5
Step-by-step explanation:
basta isipin mo BWHAHAHAHAHHA balakadan
Radius of ball is 6 inches. Then the volume is 904.32 ![in^3](https://tex.z-dn.net/?f=in%5E3)
<u>Solution:</u>
Given that, radius of a ball is 6 inches.
We have to find the volume of the ball with 6 inches radius.
Now, we know that, a ball will be in a shape of sphere, so we have to use the volume of a sphere formula to find the volume of the ball.
<em><u>The volume of sphere is given as:</u></em>
![\text { volume of sphere }=\frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20volume%20of%20sphere%20%7D%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
where r is the radius.
Here in our problem, r = 6
![\text { Then, volume }=\frac{4}{3} \times \pi \times 6^{3}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Then%2C%20volume%20%7D%3D%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%206%5E%7B3%7D)
![\begin{array}{l}{=\frac{4}{3} \times \pi \times 6 \times 6 \times 6} \\\\ {=4 \times \pi \times 2 \times 6 \times 6} \\\\ {=8 \times \pi \times 36} \\\\ {=288 \pi=288 \times 3.14=904.32}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%3D%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%206%20%5Ctimes%206%20%5Ctimes%206%7D%20%5C%5C%5C%5C%20%7B%3D4%20%5Ctimes%20%5Cpi%20%5Ctimes%202%20%5Ctimes%206%20%5Ctimes%206%7D%20%5C%5C%5C%5C%20%7B%3D8%20%5Ctimes%20%5Cpi%20%5Ctimes%2036%7D%20%5C%5C%5C%5C%20%7B%3D288%20%5Cpi%3D288%20%5Ctimes%203.14%3D904.32%7D%5Cend%7Barray%7D)
Hence the volume is 904.32 ![in^3](https://tex.z-dn.net/?f=in%5E3)
![\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5E2x%20%2B%20sin%5E2x%7D%7Bcot%5E2x%20-%20cosec%5E2x%7D%20%3D%20-1)
<em><u>Solution:</u></em>
<em><u>Given trignometric expression is:</u></em>
![\frac{cos^2x + sin^2x}{cot^2x - cosec^2x}](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5E2x%20%2B%20sin%5E2x%7D%7Bcot%5E2x%20-%20cosec%5E2x%7D)
We have to evaluate the above expression
<em><u>Let us use the trignometric identities</u></em>
![sin^2x + cos^2x = 1](https://tex.z-dn.net/?f=sin%5E2x%20%2B%20cos%5E2x%20%3D%201)
<em><u>Also, use another trignometric identitiy</u></em>
![1 + cot^2x = cosec^2x](https://tex.z-dn.net/?f=1%20%2B%20cot%5E2x%20%3D%20cosec%5E2x)
Therefore, upon rearranging we get,
![cot^2 x -cosec^x = -1](https://tex.z-dn.net/?f=cot%5E2%20x%20-cosec%5Ex%20%3D%20-1)
<em><u>Apply these two identities in given expression</u></em>
![\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = \frac{1}{-1}\\\\\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5E2x%20%2B%20sin%5E2x%7D%7Bcot%5E2x%20-%20cosec%5E2x%7D%20%3D%20%5Cfrac%7B1%7D%7B-1%7D%5C%5C%5C%5C%5Cfrac%7Bcos%5E2x%20%2B%20sin%5E2x%7D%7Bcot%5E2x%20-%20cosec%5E2x%7D%20%3D%20-1)
Thus value of given expression is -1
Answer:
Answer is A 216
Step-by-step explanation:
252×6=1512
1512÷7=216