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In Exercises 44 and 45, use the formula from Exercise 43. Similar
A margarine tub has the shape of a frustum of a cone. With the lower base having diameter length
A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is
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Elementary Geometry for College Students
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- In Exercises 44 and 45, use the formula from Exercise 43. Similar triangles were used to find h and H. A container of yogurt has the shape of a frustum of a cone. With the lower base having diameter length 6 cm and the upper base having diameter length 8 cm, the volume of such a container 7.5 cm tall can be determined by using H=30 cm and h=22.5 cm. Find its volume. A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is V=13R2H13rh2arrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the area of a square whose apothem measures 5 cm.arrow_forwardFor Exercises 48 and 49, use the formula found in Exercise 47. Find the area of a trapezoid with an altitude of length 513ft and a median of length 214ft.arrow_forward
- In Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the approximate area of a regular pentagon whose apothem measures 6 in. and each of whose sides measures approximately 8.9 in.arrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the area of a regular pentagon with an apothem of length a = 6.5 in. and each side of length s = 9.4 in.arrow_forwardIn excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 ft long by 36 ft wide by 9 ft deep. How many cubic yards of dirt were removed?arrow_forward
- In Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. In a regular octagon, the measure of each apothem is 4 cm, and each side measures exactly 8(21) cm. Find the exact area of this regular polygon.arrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. In a regular octagon, the approximate ratio of the length of an apothem to the length of a side is 6:5. For a regular octagon with an apothem of length 15 cm, find the approximate area.arrow_forwardFor Exercises 11 and 12, use Brahmaguptas Formula. For cyclic quadrilateral ABCD, find the area if AB=39 mm, BC=52 mm, CD=25 mm, and DA=60 mm.arrow_forward
- Use the results from Exercises 36 and 37 to find the exact length of the radius of the inscribed circle for a triangle with sides of lengths a 8, 15 and 17 b 7, 9 and 12arrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. In a regular dodecagon 12 sides, the approximate ratio of the length of an apothem to the length of a side is 15:8. For a regular dodecagon with an apothem of length 12 ft, find the approximate area.arrow_forwardBefore the shingles of the steeple see Exercise 29 are replaced, an exhaust fan is to be installed in the steeple. To determine what size exhaust fan should be installed, it is necessary to know the volume of air in the steeple. Find the volume of the regular square pyramid described in Exercise 29.arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning