Determine the volume of the following spheres with the given dimensions. To bthe code find the mean of all your answers. Round your answersto the hundreplace. Use 3.14 for an approximation for pi.1)3).3 ст18 in2)4)42 in1 ft.Code:

Volume of sphere=43πr3 1. We have radius 3 cm Then, volume V=43×3.14×33=4×3.14×32=113.04 cm3 2. We…

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Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter67: Analysis Of Trigonometric Functions

Section: Chapter Questions

Problem 3A: Find the number of cubic inches of material contained in the tapered shaft shown. Round the answer...

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Question

Determine the volume of the following spheres with the given dimensions. To b
the code find the mean of all your answers. Round your answersto the hundre
place. Use 3.14 for an approximation for pi.
1)
3).
3 ст
18 in
2)
4)
42 in
1 ft.
Code:

Expert Solution

Step 1

Volume of sphere $= \frac{4}{3} {πr}^{3}$

We have radius $3 cm$

Then, volume

$\begin{array}{rcl} V & = & \frac{4}{3} \times (3.14) \times {(3)}^{3} \\ = & 4 \times 3.14 \times 3^{2} \\ = & 113.04 {cm}^{3} \end{array}$

We have radius $42 inch=106.68 cm$

Therefore, volume

$\begin{array}{rcl} V & = & \frac{4}{3} \times 3.14 \times {(106.68)}^{3} \\ = & 4 \times 3.14 \times 35.56 \times {(106.68)}^{2} \\ = & 5082968.35 {cm}^{3} \end{array}$ .

We have radius $18 in=45.72 cm$

Therefore, volume

$\begin{array}{rcl} V & = & \frac{4}{3} {×π×r}^{3} \\ = & \frac{4}{3} \times 3.14 \times {(45.72)}^{3} \\ = & 4 \times 3.14 \times 15.24 \times {(45.72)}^{2} \\ = & 12.56 \times 15.24 \times {(45.72)}^{2} \\ = & 400117.04 {cm}^{3} \end{array}$

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