Answer:
A. 54 pie cm³
Step-by-step explanation:
height of the cylinder = 6 × radius of one sphere.
= 6 × 3
= 18 cm
as we can see 3 spheres make up the height of one cylinder,
height of one sphere = 6 cm (3 + 3)
with three spheres it becomes = 6 × 3
= 18 cm
= × (9)² × 18
= 27 × 6
= 36
volume = 3 × (36 )
= 27 × 4
volume of the empty space
= volume of cylinder- volume of 3 spheres
= 27 × 6 - 27 × 4
= 27 ( 6 - 4)
= 27 × 2
Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:
<em>*To solve for a specified variable, you need to isolate that variable onto one side.</em>
<h3>11.</h3>Firstly, subtract 5r on both sides:
Lastly, divide both sides by 2 and <u>your answer will be </u>
First, subtract z on both sides of the equation:
Next, divide both sides by y and <u>your answer will be </u>
Firstly, multiply both sides by b:
Next, divide both sides by c and <u>your answer will be </u>