The volume of the solid generated by the revolution is 33.5 cubic units.
<u>Step-by-step explanation:</u>
It is given that, the diameter of the semi-circle is 4 and it is rotated to one full rotation around its diameter.
A solid generated when a semicircle is being rotated about its diameter is called a "SPHERE".
Therefore, the volume of the solid generated by the revolution is the volume of the sphere.
The formula for volume of the sphere is given by,
Volume of sphere = (4/3)πr³
where, r is the radius and π has the default value of 3.14
Here, the given diameter is 4.
To find the radius = diameter/2
radius = 4/2 = 2.
Now, to calculate volume of sphere substitute r=2 and π=3.14
volume of the sphere = (4/3)×3.14×2³
⇒ (4/3)×3.14×8
⇒ 100.48 / 3
⇒ 33.49 (approximately 33.5)
Therefore, the volume of the solid generated by the revolution is 33.5 cubic units.
Answer:
f'(a) = -4
Step-by-step explanation:
f(x) = 3 − 4x
Take the derivative of the function
f'(x) = -4
f'(a) = -4
Answer:
y=5x-3
Step-by-step explanation:
y=mx+b where m=slope and b= y-intercept
I know my cases are f(0,0), f(0,1), f(0,2), f(0,3), f(1,0), f(1,1), f(1,2), f(1,3), f(2,0), f(2,1), f(2,2), f(2,3), f(3,0), f(3,1), f(3,2), f(3,3) and that:<span>
0≤x+y≤3</span><span>
since there are 3 cards being drawn we cannot have more than 3 jacks or 3 kings or combination of 3 of the two, or 0 jacks and 0 king
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0.453682
= 0.4+0.05+0.003+0.0006+0.00008+0.000002
453682.0
= 400000+50000+3000+600+80+2+0.0
Must click thanks and mark brainliest
