Solve the problem.
-Estimate the volume of material in a cylindrical shell with height 31 in., radius 6 in., and shell thickness $0.4$ in. (Use $3.14$ for $\pi$.)
A)(477.2\) in. $^ { 3 }$
B)(11681\) in. $^ { 3 }$
C) $467.2$ in. $^ { 3 }$
D) $233.6 \mathrm { in. } ^ { 3 }$

Question

Quizplus · Accepted Answer

The volume of the cylindrical shell is calculated by finding the difference between the volume of the outer cylinder and the inner cylinder. The outer radius is $6 + 0.4 = 6.4$ in. The volume of the outer cylinder is $\pi \times (6.4)^2 \times 31$ and the inner cylinder is $\pi \times (6)^2 \times 31$. The difference gives the volume of the shell: $(3.14 \times 6.4^2 \times 31) - (3.14 \times 6^2 \times 31) = 467.2$ in.$^3$.

Solve the Problem 0.40.40.4 In (Use 3.143.143.14 For π\piπ ) A)(477 3^ { 3 }3

Solve the Problem $0.4$ In (Use $3.14$ For $\pi$ )
A)(477 $^ { 3 }$