Please answer the following Preview File Edit View Go Tools Bookmarks Window Hel

Question

Please answer the following

Preview File Edit View Go Tools Bookmarks Window Help quiz05.pdf (page 2 of 2 3. Tolerance (a) About how accurately must the interior diameter of a 10-ft high cylindrical storage tank be measured to calculate the tank's volume to within 1% of its true value? (b) About how accurately must the tank's exterior diameter be measured to calculate the amount of paint it will take to paint the side of the tank within 5% of the true amount? 92% CI, Wed 12:58 AM Q EE Reader Mail Inbox:... hultz Mat vs...TDE1 pen Folder Inbox 001 mcr Back to Inbox F tball game reen Shot 14...9 AM een Shot Back to Inbox 14...9 AM

Explanation / Answer

1)V = pi * r ^ 2 * h

V = pi (D/2) ^ 2 * h
1.01 V = pi (D'/2)^2 * h
1.01 = (D'/2)^2 / (D/2)^2
sqrt (1.01) = D'/D
1.004987 = D'/D
D' = 1.004987 D

sqrt(0.99) = D'/D
.994987 = D'/D
.994987 D = D'

means it should be measured within -0.5013% and 0.4987% of D. plus or minus ~0.5%

2)A = Circumference * height

A = pi * D * h
1.05A = pi * D' * h
1.05 = D'/D

0.95 = D'/D

the diameter should be measured within Plus or minus 5% of the true diameter.

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