A right pyramid with square base is 32 cm high, if one side of the square base is 48cm, find the following: 2.a. Area of its slant surface Your answer       2.b. Total Surface Area Your answer       2.c. Volume Your answer

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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2. A right pyramid with square base is 32 cm high, if one side of the square base is 48cm, find the following:
2.a. Area of its slant surface
Your answer
 
 
 
2.b. Total Surface Area
Your answer
 
 
 
2.c. Volume
Your answer
 
 
 
3. Solve for the volume of a right octagonal pyramid where the perimeter of the regular octagonal base is 0.1 meters and the perpendicular distance of the octagon to the vertex of pyramid is 2 more than 4 times the length of one side of the octagon. Answer should be in cubic cm.
Your answer
 
 
 
4. Solve for the volume of a hemisphere that has a total surface area of 1654.637581 square centimeters.
Your answer
 
 
 
5. A steel plant has to fill an order from an automobile manufacturer for 100 000 steel ball bearings 15 mm in diameter. What is the total weight of the metal required to fill this order, if steel weighs 75.5 kN/cubic meters?
Your answer
 
 
 
6. True or false: The pyramid is said to be a right pyramid if the vertex is directly above the centroid of the base, otherwise it is an obtuse pyramid.
 
 
 
True
 
 
 
False
 
 
7. A tank in the form of a right circular cone is 0.90m high and its base is 0.60m in radius. It is desired to build a similar tank whose volume is twice as great. What should be the dimensions of the larger tank?
Your answer
 
 
 
8. What is the area in square meters of the zone of a spherical segment having a volume of 1470.265 cubic mm if the diameter of the sphere is 30mm?
Your answer
 
 
 
9. The slant height of a circular cone is 5m long. The base diameter is 6m. Determine the lateral area in square meters.
Your answer
 
 
 
10. A certain pyramid has a volume of 451.6680729 cubic meters. If one side of the base is 6.5m and the perpendicular distance from the base to the vertex is 6.25m. If a circle of radius 9.5297m is inscribed in the regular polygon. What will be the measurement of each internal angle of the regular base?
 
 
 
 
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