Answer:
20
Step-by-step explanation:
add all the numbers up
The answer is (D) or 1728 In³
Answer:
43/18
Step-by-step explanation:
2/3(1/3+ 3 1/4)
2/3(1/3+ 3 1/4)
find the lowest common denominator (12) to add the two fractions.
1/3= 4/12;
3 1/4= 13/4 = 39/12
4/12+ 39/12= 43/12
2/3(43/12)
- Then multiply the fractions.
2/3(43/12)
Numerator: 2*43= 86
Denominator: 3*12= 36
86/36
- Last simplify your fraction.
43/18 or 2 7/18
The solution would be like
this for this specific problem:
<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫
0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [
-2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [
2·r² ] dr </span>
<span>=
(2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>
So the volume of the
given solid is 16/3. I am hoping that these answers have satisfied
your query and it will be able to help you in your endeavors, and if you would
like, feel free to ask another question.
