Answer:
C) 2094.40
nearest answer.
Step-by-step explanation:
Since the given region is bounded by y = x, y = 10 and x = 0
⇒ 0 ≤ y ≤ 10
Radius and Height are 'y'
∴ The required volume
= ∫₀¹⁰2π(radius)(height)dy
= ∫₀¹⁰2π (y) (y) dy
= ∫₀¹⁰2π y² dy
= 2π ∫₀¹⁰ y² dy
Integrate y
= ![2\pi [\frac{y^3}{3}]_0^{10}](https://tex.z-dn.net/?f=2%5Cpi%20%5B%5Cfrac%7By%5E3%7D%7B3%7D%5D_0%5E%7B10%7D)
= ![2\pi [\frac{10^3}{3} - 0]](https://tex.z-dn.net/?f=2%5Cpi%20%5B%5Cfrac%7B10%5E3%7D%7B3%7D%20-%200%5D)
= 
where π is 3.142
= 2,094.66
Answer:
Percent of water in the mixture=88%
Which is 81.07 square inches of the total volume
Step-by-step explanation:
Volume of the flask=πr^2h
π=3.142
radius=diameter/2
=3.71/2
=1.855
height=8.52 inches
Volume of the flask=πr^2h
=3.142*(1.855)^2*8.52
=3.142*3.441025*8.52
=92.115688686
Approximately 92.12 square inches
Flask contains 12% acid solution and the remaining volume is water
Percentage of water =Total percentage - acid solution percentage
=100%-12%
=88%
Percentage of Water =88%
Percentage of the mixture by volume is water=88% of the total volume
=88/100*92.12
=81.0656 square inches
Approximately 81.07 square inches
