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Determine the radius of the spherical wedge whose volume 12 m3 with a central angle of 1.80 radians.


A closed right cylindrical tank with a height of 8 m and 3 m in diameter contains water to a depth of 5m. If the tank is laid in a horizontal position, find the depth of water.


The volume of a frustum of a rectangular pyramid is 79.17 m3 with an altitude of 5 m. If the upper base has dimensions of 2.50 m x 4.0 m, find the area of the lower base.


If two cylinders, both of radius 1m, intersect at right angles, Find the volume of the intersection.


The shaded region below is the common area to four semicircles whose diameters

are the sides of the square with side length 4x. Find the area of the shaded region in

terms of x.


The two circles below have equal radii of 4 units each and the distance between their centers is 6 units. Find the area of the shaded region.


He counted his paces along the corridor which was 15m long. It took him 230 strides from Bangga Patyo to Helvetia Heights. How far apart are the places mentioned?


From the given loaded cantilever truss. Compute the following: (a) the external reaction at D. (b) the stress of member BC and the stress of member DE.


The first-year maintenance cost for a new car is estimated to be $150, and it increases at a uniform rate
of 15%per year. Using an 8%interest rate, calculate the present worth (PW) of the cost of the first 5
years of maintenance.
Gerard has purchased a new car. He wishes to set aside enough money in a bank account to pay the
maintenance for the first 5 years. It has been estimated that the maintenance cost of a car is as follows:
Year Maintenance Cost
1 $100
2 120
3 140
4 160
5 180
Assume the maintenance costs occur at the end of each year and that the bank pays 5% interest.
How much should Gerard deposit in the bank now?
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