Solve the problem. Use 3.14 as the approximate value of ?. Round to the nearest hundredth if necessary.A certain marine engine has cylinders that are 3.54 cm in diameter and 4.60 cm deep. Find the total volume of 8 cylinders.

A. 818.11 cm3 
B. 362.01 cm3 
C. 45.25 cm3 
D. 724.03 cm3


Answer: B

Mathematics

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Find the area of the specified region.Inside the outer loop and outside the inner loop of the limacon r = 8 sin ? - 4

A. 16(? + 3)
B. 8(2? - 3)
C. (4? - 3)
D. 8(4? + 3)

Mathematics

Solve the problem.A right circular cylinder is obtained by revolving the region enclosed by the line x = r, the x-axis, and the line  about the y-axis. Find the volume of the cylinder.

A. ?rh2 B. ?rh C. 2?r2h D. ?r2h

Mathematics

If s represents the displacement and t represents the time for an object moving with rectilinear motion according to the given function, find the instantaneous velocity for the given time.s = 3t3 + 5t2 + 4t + 2; t = 3

A. 117 B. 115 C. 63 D. 41

Mathematics

Factor the trinomial by grouping.8a3 + 10a2b - 12ab2 - 15b3

A. (8a2 - 3b2)(a + 5b) B. (2a2 - 3b)(4a + 5b) C. (2a2 - 3b2)(4a + 5b) D. (2a2 + 3b2)(4a - 5b)

Mathematics