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 5.75 cm tall can be determined by using H = 23 cm and h = 17.25 cm. Find its volume (in cubic centimeters) using the formula V =R²H - ²h. Similar triangles were used to find h and H. (Use your calculator value of T. Round your answer to two decimal places.) 3 cm ³ V =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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 5.75 cm tall can be determined by using H = 23 cm and
h = 17.25 cm. Find its volume (in cubic centimeters) using the formula V =R²H - ²h. Similar triangles were used
to find h and H. (Use your calculator value of T. Round your answer to two decimal places.)
3
cm ³
V =
Transcribed Image Text: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 5.75 cm tall can be determined by using H = 23 cm and h = 17.25 cm. Find its volume (in cubic centimeters) using the formula V =R²H - ²h. Similar triangles were used to find h and H. (Use your calculator value of T. Round your answer to two decimal places.) 3 cm ³ V =
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