Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
9514 1404 393
Answer:
x = 23.1
Step-by-step explanation:
The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...
x/14 = 33/20
Multiplying by 14, we get ...
x = 14(33/20) = 7(33/10) = 23.1
Answer:
4.02 gallons of paint
Step-by-step explanation:
44 * 32 = 1408 square feet
1408 / 350 = 4.02
Step-by-step explanation:
<em>A = 35</em>
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<em>P = 32</em>
Answer:
Volume = 18 cm^3
Surface Area = 58 cm^2
Step-by-step explanation:
Find the volume with the formula V=w*h*l
W= width
H = height
L = length
W= 2cm
H= 1 cm
L= 9 cm
V= w*h*l
V= 2cm * 1 cm * 9cm
V= 18 cm^3
Find the surface area with the formula A= 2(w*l + h*l + h* w)
W= width
H = height
L = length
W= 2cm
H= 1 cm
L= 9 cm
A= 2(w*l + h*l + h* w)
A= 2(2cm*9cm + 1cm*9cm + 1cm* 2cm)
A= 2(29cm)
A= 58cm^2
