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4 years ago

9

A cylindrical container, which will be used to collect oil, has a circumference of 15.5 in. and a height of 8 in. Which estimate

best approximates the amount of oil the container can hold? 60 in³ 150 in³ 450 in³ 600 in³

2 answers:

Ede4ka [16]4 years ago

7 0

It would be 150 cubic inches.

Approximate Value: 1509.53527004

Hope this Helps! (:

Jobisdone [24]4 years ago

6 0

The answer is 150in
I took the quiz and got it correct

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3 years ago

Read 2 more answers

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3 years ago

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3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5 36 −

azamat

Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V = $\pi\int\limits^a_b {[f(x)]^{2}} \, dx$

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= $\frac{5}{36}-x^{2}$ and solid delimited by x = 2 and x = 4:

V = $\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx$

V = $\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx$

V = $\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )$

V = $\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )$

V = 193.25π

The volume of a solid formed by y = $\frac{5}{36} - x^{2}$ and delimited by x = 2 and x = 4

is 193.25π cubic units.

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3 years ago