The image shows a geometric figure comprised of a rectangular prism and a cylinder on top of it. The dimensions are labeled as follows: - The rectangular prism has a length of 15 inches, a width of 9 inches, and a height of 9 inches. - The cylinder has a radius of 6 inches and a height of 8 inches. The text on the image reads: "The volume of this figure is _____ cubic inches. (Use 3.14 for π. Do NOT round your answer.)" Instructions reveal that the task is to calculate the combined volume of the two shapes without rounding the answer.

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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The image shows a geometric figure comprised of a rectangular prism and a cylinder on top of it. The dimensions are labeled as follows:

- The rectangular prism has a length of 15 inches, a width of 9 inches, and a height of 9 inches.
- The cylinder has a radius of 6 inches and a height of 8 inches.

The text on the image reads:
"The volume of this figure is _____ cubic inches. (Use 3.14 for π. Do NOT round your answer.)"

Instructions reveal that the task is to calculate the combined volume of the two shapes without rounding the answer.
Transcribed Image Text:The image shows a geometric figure comprised of a rectangular prism and a cylinder on top of it. The dimensions are labeled as follows: - The rectangular prism has a length of 15 inches, a width of 9 inches, and a height of 9 inches. - The cylinder has a radius of 6 inches and a height of 8 inches. The text on the image reads: "The volume of this figure is _____ cubic inches. (Use 3.14 for π. Do NOT round your answer.)" Instructions reveal that the task is to calculate the combined volume of the two shapes without rounding the answer.
Expert Solution
Step 1

Consider the given:

Diameter of Cylinder =6 inchesRadius of Cylinder =3 inchesHeight of Cylinder =8 inchesVolume of cylinder=πr2h=3.14×32×8=3.14×9×8=226.08 in3

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