Answer:
1. 170.083 in³
2. 126π in³
3. 92.106 m³
4. 2412.74 in³
5. 612π m³ and 1922 m³
Step-by-step explanation:
1.
Cylinder:
*Plug in numbers*
*Square 2.5*
*Solve*
≈ 
Sphere:
*Plug in numbers*
*Cube 2.5*
*Divide by 2 and Solve*
≈ 
Add both volumes
≈ 
2.
Cylinder:
*Plug in numbers*
*Square 3*
*Multiply*

Sphere:
π
*Plug in numbers*
*Cube 3*
*Multiply*

Add both Volumes to get total

3.
Sphere:
*Plug in numbers*
*Cube 3*
*Multiply*

Cone:
*Plug in numbers*
*Square 2*
*Solve*

Subtract the volumes to get the volume of the blue area

4.
Sphere:
*Plug in numbers*
*Cube 8*
*Multiply*
*Solve*
*Divide by 2 since it's a hemisphere*
Cone:
*Plug in numbers*
*Square 8*
*Multiply and Divide*
Add both volumes

5.
Cylinder:
*Plug in numbers*
*Square 6*
*Multiply*

Cone:
*Plug in numbers*
*Square 6*

Add both volumes

Alternative: *Multiply π*

Answer:
(0,12)
Step-by-step explanation:
Plug 0 into y
5(10) - 2(3) , 50 - 6 , 44
We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
and (x-1)²= 54
we <span>take the square root of both sides
* x-1=</span>√54= 3√6 or x=1+3√6
* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>