Civil and Environmental Engineering Answers

Ice has a density of 0.92 g/cm³ and seawater has a density of 1.04 g/cm³. Determine the total volume of a floating iceberg if 30 m³ is above the seawater.

A hydraulic press has a small piston of diameter 2 cm. If a force of 60 N is applied to the smaller piston, a force of 300 N is exerted on the larger piston. What is the diameter of the larger piston?

Find the volume of copper ball which has a mass of 400g if the specific gravity of copper is 8.9

Determine the surface area generated by revolving the curve y=1/3 x³ over the interval (0,2), about the x-axis.

Calculate the length of the polar curve r=1-sin(theta) on the given interval (0, 2π).

Calculate the length of the curve defined by x=1/3 √y (y-3) on the interval 1≤y≤9.

Determine the area of the surface generated by revolving a given curve about a given axis.

a.) y=x³ on (0,1), about the x-axis.

b. ) y=x² on (0,√2), about the y-axis.

Determine the arc lengths defined by the following functions over the given intervals: a.) y=1/3 x^3/2 on (0,4)

b.) r= sin² (theta)/2 on 0≤(theta)≤π.

Calculate the volume of solid formed by revolving about the line y=1 the region bounded by the parabola x²=4y and that line. Take the rectangular elements of the area parallel to the axis of revolution.

Find the volume of solid formed when the region bounded by the curve y²=x, the line y=1 and the y-axis, is revolved about the line y=2.