The volume of a spherical cancerous tumor is given by .
If the radius of a tumor is estimated at 1.7 cm, with a maximum error in measurement of 0.003 cm, determine the error that might occur when the volume of the tumor is calculated.

Question

The volume of a spherical cancerous tumor is given by

.
If the radius of a tumor is estimated at 1.7 cm, with a maximum error in measurement of 0.003 cm, determine the error that might occur when the volume of the tumor is calculated.

Quizplus · Accepted Answer

The Answer of The volume of a spherical cancerous tumor is given by . If the radius of a tumor is estimated at 1.7 cm, with a maximum error in measurement of 0.003 cm, determine the error that might occur when the volume of the tumor is calculated. A) ±0.003 cm³ B) ±0.009 cm³ C) ±0.036 cm³ D) ±0.185 cm³ E) ±0.109 cm³

The Volume of a Spherical Cancerous Tumor Is Given by