Solve the Problem $8.1 \pi \mathrm { in } ^ { 3 } ; 3.6 \pi \mathrm { in } ^ { 2 }$

question 140

Multiple Choice

Solve the problem.
-The radius of a ball is claimed to be 4.5 inches, with a possible error of 0.05 inch. Use differentials to approximate the maximum possible error in calculating the volume of the sphere and the surface area of the
Sphere.

• A) \(8.1 \pi \mathrm { in } ^ { 3 } ; 3.6 \pi \mathrm { in } ^ { 2 }\)
• B) \(0.9 \pi \mathrm { in } ^ { 3 } ; 18 \pi \mathrm { in. } ^ { 2 }\)
• C) \(4.05 \pi\) in. \(^ { 3 } ; 1.8 \pi\) in. \(^ { 2 }\)
• D) \(1.8 \pi\) in. \(^ { 3 } ; 4.05 \pi\) in. \(^ { 2 }\)

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