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Find the volume of the solid, which consists of a hemisphere and a cylinder. ..... The volume isO t³. (Use 3.14 for 1. Round the nearest tenth.) 10 ft 6 ft

Find the volume of the solid, which consists of a hemisphere and a cylinder. ..... The volume isO t³. (Use 3.14 for 1. Round the nearest tenth.) 10 ft 6 ft

Elementary Geometry For College Students, 7e
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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**Problem Statement:** Find the volume of the solid, which consists of a hemisphere and a cylinder. **Instructions:** The volume is \(\underline{\phantom{ft^3}}\) ft³. (Use 3.14 for \(\pi\). Round to the nearest tenth.) **Diagram Description:** The image depicts a combined geometric solid, consisting of a cylinder with a hemisphere on top. - **Cylinder:** - Height: 10 ft - Radius: 6 ft - **Hemisphere:** - Radius: 6 ft (same as the cylinder) To find the volume of the entire solid, calculate the volume of the cylinder and the volume of the hemisphere, then add them together. **Formulas:** 1. Volume of a cylinder: \(V = \pi r^2 h\) 2. Volume of a hemisphere: \(V = \frac{2}{3} \pi r^3\) Substitute \(r = 6\) ft, \(h = 10\) ft, and \(\pi = 3.14\) into the formulas, then round your answer to the nearest tenth.
Transcribed Image Text:**Problem Statement:** Find the volume of the solid, which consists of a hemisphere and a cylinder. **Instructions:** The volume is \(\underline{\phantom{ft^3}}\) ft³. (Use 3.14 for \(\pi\). Round to the nearest tenth.) **Diagram Description:** The image depicts a combined geometric solid, consisting of a cylinder with a hemisphere on top. - **Cylinder:** - Height: 10 ft - Radius: 6 ft - **Hemisphere:** - Radius: 6 ft (same as the cylinder) To find the volume of the entire solid, calculate the volume of the cylinder and the volume of the hemisphere, then add them together. **Formulas:** 1. Volume of a cylinder: \(V = \pi r^2 h\) 2. Volume of a hemisphere: \(V = \frac{2}{3} \pi r^3\) Substitute \(r = 6\) ft, \(h = 10\) ft, and \(\pi = 3.14\) into the formulas, then round your answer to the nearest tenth.
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