Answer:
312π mm^2
Step-by-step explanation:
to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.
The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:
V = 1/3 * (6) ^ 2 * (14) = 168π mm^2
The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:
V = 4/3 * π * (6) ^ 3 = 288π mm^2
but since you only have half the sphere
V = 288π / 2 = 144π mm^2
then the total volume is
Vt = 168π + 144π = 312π mm^2
Answer:10
Step-by-step explanation:
If A=w(50-w)
A=50w-w^2
dA/dw=50-2w
d2A/dw2=-2
Since the acceleration is a constant negative, that means that when velocity, dA/dw=0, it is at an absolute maximum for A(w)...
dA/d2=0 only when 50=2w, w=25
So as the case with any rectangle, the perfect square will enclose the greatest area possible with respect to a given amount of material to enclose that area...
So the greatest area occurs when W=L=25 in this case:
A(25)=50w-w^2
Area maximum is thus:
Amax=50(25)-(25)^2=625 u^2
Answer: 1. You have to multiply 9.75x1.2= 11.7
2.You have to multiply 24.5x0.8= 20.4
3. Add the to products 11.7+20.4= 32.1
4. Answer is- 31.3 minutes
Step-by-step explanation: Hopefully this helped a lot ;D
