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olasank [31]
3 years ago
10

A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water

tank is a cylinder with a 13 inch radius and a 75 inch height. The sleeve is 3 inches thick. The insulting material that makes up the sleeve is a fiberglass composite. How many cubic inches of fiberglass composite are needed to create each sleeve, to the nearest tenth of a cubic foot ?
Mathematics
1 answer:
Alex3 years ago
8 0

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

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lbvjy [14]
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

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